126956375970064 has 15 divisors (see below), whose sum is σ = 245978065765093. Its totient is φ = 63478165450048.

The previous prime is 126956375970043. The next prime is 126956375970097. The reversal of 126956375970064 is 460079573659621.

The square root of 126956375970064 is 11267492.

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

It can be written as a sum of positive squares in only one way, i.e., 98198983011600 + 28757392958464 = 9909540^2 + 5362592^2 .

It is a super-2 number, since 2×126956375970064² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126956375969975 and 126956375970002.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 43661532 + ... + 46478404.

Almost surely, 2^{126956375970064} is an apocalyptic number.

126956375970064 is the 11267492-nd square number.

It is an amenable number.

126956375970064 is a deficient number, since it is larger than the sum of its proper divisors (119021689795029).

126956375970064 is an frugal number, since it uses more digits than its factorization.

126956375970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633754 (or 2816875 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 70.

The spelling of 126956375970064 in words is "one hundred twenty-six trillion, nine hundred fifty-six billion, three hundred seventy-five million, nine hundred seventy thousand, sixty-four".