126444248100 has 243 divisors, whose sum is σ = 412494736017. Its totient is φ = 33641658720.

The previous prime is 126444248081. The next prime is 126444248101. The reversal of 126444248100 is 1842444621.

The square root of 126444248100 is 355590.

It is a perfect power (a square), and thus also a powerful number.

126444248100 is a `hidden beast` number, since 1 + 2 + 644 + 4 + 2 + 4 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45519929316 + 80924318784 = 213354^2 + 284472^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×126444248100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126444248101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 288027681 + ... + 288028119.

Almost surely, 2^126444248100 is an apocalyptic number.

126444248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126444248100 is the 355590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126444248100

126444248100 is an abundant number, since it is smaller than the sum of its proper divisors (286050487917).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126444248100 is an frugal number, since it uses more digits than its factorization.

126444248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 126444248100 by its sum of digits (36), we get a square (4551992931600 = 2133540²).

126444248100 divided by its sum of digits (36) gives a square (3512340225 = 59265²).

It can be divided in two parts, 126444 and 248100, that added together give a square (374544 = 612²).

The spelling of 126444248100 in words is "one hundred twenty-six billion, four hundred forty-four million, two hundred forty-eight thousand, one hundred".