126614480336100 has 243 divisors, whose sum is σ = 401794094028873. Its totient is φ = 33349686396480.

The previous prime is 126614480336041. The next prime is 126614480336147. The reversal of 126614480336100 is 1633084416621.

The square root of 126614480336100 is 11252310.

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

126614480336100 is a `hidden beast` number, since 1 + 2 + 6 + 61 + 4 + 480 + 3 + 3 + 6 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45581212920996 + 81033267415104 = 6751386^2 + 9001848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28018249641 + ... + 28018254159.

Almost surely, 2^{126614480336100} is an apocalyptic number.

126614480336100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126614480336100 is the 11252310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126614480336100

126614480336100 is an abundant number, since it is smaller than the sum of its proper divisors (275179613692773).

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

126614480336100 is an frugal number, since it uses more digits than its factorization.

126614480336100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126614480336100 in words is "one hundred twenty-six trillion, six hundred fourteen billion, four hundred eighty million, three hundred thirty-six thousand, one hundred".