126624356264 has 96 divisors (see below), whose sum is σ = 279927786600. Its totient is φ = 53534638080.

The previous prime is 126624356251. The next prime is 126624356273. The reversal of 126624356264 is 462653426621.

It can be written as a sum of positive squares in 4 ways, for example, as 42209702500 + 84414653764 = 205450^2 + 290542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16079432 + ... + 16087304.

Almost surely, 2^126624356264 is an apocalyptic number.

126624356264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126624356264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139963893300).

126624356264 is an abundant number, since it is smaller than the sum of its proper divisors (153303430336).

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

126624356264 is a wasteful number, since it uses less digits than its factorization.

126624356264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8432 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 47.

The spelling of 126624356264 in words is "one hundred twenty-six billion, six hundred twenty-four million, three hundred fifty-six thousand, two hundred sixty-four".