126585100944 has 75 divisors (see below), whose sum is σ = 366411082323. Its totient is φ = 42190764192.

The previous prime is 126585100913. The next prime is 126585100963. The reversal of 126585100944 is 449001585621.

The square root of 126585100944 is 355788.

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

126585100944 is a `hidden beast` number, since 1 + 26 + 585 + 1 + 0 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×126585100944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126585100944.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 12803427 + ... + 12813309.

Almost surely, 2^126585100944 is an apocalyptic number.

126585100944 is the 355788-th square number.

It is an amenable number.

126585100944 is an abundant number, since it is smaller than the sum of its proper divisors (239825981379).

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

126585100944 is an frugal number, since it uses more digits than its factorization.

126585100944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19786 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 126585 and 100944, that added together give a square (227529 = 477²).

The spelling of 126585100944 in words is "one hundred twenty-six billion, five hundred eighty-five million, one hundred thousand, nine hundred forty-four".