256461164652 has 192 divisors, whose sum is σ = 755919682560. Its totient is φ = 65738112000.

The previous prime is 256461164639. The next prime is 256461164669.

It is a happy number.

256461164652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256461164652² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29579374 + ... + 29588042.

It is an arithmetic number, because the mean of its divisors is an integer number (3937081680).

Almost surely, 2^256461164652 is an apocalyptic number.

256461164652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256461164652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377959841280).

256461164652 is an abundant number, since it is smaller than the sum of its proper divisors (499458517908).

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

256461164652 is a wasteful number, since it uses less digits than its factorization.

256461164652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9110 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 256461164652 in words is "two hundred fifty-six billion, four hundred sixty-one million, one hundred sixty-four thousand, six hundred fifty-two".