65213466431256 has 128 divisors (see below), whose sum is σ = 212817839270400. Its totient is φ = 18241529063040.

The previous prime is 65213466431251. The next prime is 65213466431257.

65213466431256 is a `hidden beast` number, since 6 + 5 + 2 + 1 + 346 + 6 + 43 + 1 + 256 = 666.

65213466431256 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65213466431251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055613156 + ... + 1055674931.

It is an arithmetic number, because the mean of its divisors is an integer number (1662639369300).

Almost surely, 2^{65213466431256} is an apocalyptic number.

65213466431256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65213466431256 is an abundant number, since it is smaller than the sum of its proper divisors (147604372839144).

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

65213466431256 is a wasteful number, since it uses less digits than its factorization.

65213466431256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111288126 (or 2111288116 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 65213466431256 in words is "sixty-five trillion, two hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, two hundred fifty-six".