65122956864 has 441 divisors, whose sum is σ = 225025027851. Its totient is φ = 18006347520.

The previous prime is 65122956809. The next prime is 65122956881. The reversal of 65122956864 is 46865922156.

The square root of 65122956864 is 255192.

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

65122956864 is a `hidden beast` number, since 6 + 5 + 12 + 2 + 9 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a self number, because there is not a number n which added to its sum of digits gives 65122956864.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2100740529 + ... + 2100740559.

Almost surely, 2^65122956864 is an apocalyptic number.

65122956864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65122956864 is the 255192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65122956864

65122956864 is an abundant number, since it is smaller than the sum of its proper divisors (159902070987).

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

65122956864 is an frugal number, since it uses more digits than its factorization.

65122956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 43 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 65122956864 in words is "sixty-five billion, one hundred twenty-two million, nine hundred fifty-six thousand, eight hundred sixty-four".