127526123664 has 45 divisors (see below), whose sum is σ = 356908019923. Its totient is φ = 42507279456.

The previous prime is 127526123629. The next prime is 127526123719. The reversal of 127526123664 is 466321625721.

The square root of 127526123664 is 357108.

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

127526123664 is a `hidden beast` number, since 1 + 27 + 5 + 2 + 612 + 3 + 6 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4270417 + ... + 4300175.

Almost surely, 2^127526123664 is an apocalyptic number.

127526123664 is the 357108-th square number.

It is an amenable number.

127526123664 is an abundant number, since it is smaller than the sum of its proper divisors (229381896259).

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

127526123664 is an frugal number, since it uses more digits than its factorization.

127526123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59532 (or 29764 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 127526123664 in words is "one hundred twenty-seven billion, five hundred twenty-six million, one hundred twenty-three thousand, six hundred sixty-four".