126643456900 has 81 divisors (see below), whose sum is σ = 290196518031. Its totient is φ = 47965582080.

The previous prime is 126643456897. The next prime is 126643456903. The reversal of 126643456900 is 9654346621.

The square root of 126643456900 is 355870.

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

It is an interprime number because it is at equal distance from previous prime (126643456897) and next prime (126643456903).

It can be written as a sum of positive squares in 4 ways, for example, as 60578007876 + 66065449024 = 246126^2 + 257032^2 .

It is a super-2 number, since 2×126643456900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126643456903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67614364 + ... + 67616236.

Almost surely, 2^126643456900 is an apocalyptic number.

126643456900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126643456900 is the 355870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126643456900

126643456900 is an abundant number, since it is smaller than the sum of its proper divisors (163553061131).

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

126643456900 is an equidigital number, since it uses as much as digits as its factorization.

126643456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 126643456900 in words is "one hundred twenty-six billion, six hundred forty-three million, four hundred fifty-six thousand, nine hundred".