256164546620034 has 160 divisors (see below), whose sum is σ = 638159349864960. Its totient is φ = 76269286368000.

The previous prime is 256164546620023. The next prime is 256164546620077. The reversal of 256164546620034 is 430026645461652.

256164546620034 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 6 + 4 + 5 + 4 + 6 + 620 + 0 + 3 + 4 = 666.

It is a super-2 number, since 2×256164546620034² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 637578109 + ... + 637979759.

It is an arithmetic number, because the mean of its divisors is an integer number (3988495936656).

Almost surely, 2^{256164546620034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256164546620034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319079674932480).

256164546620034 is an abundant number, since it is smaller than the sum of its proper divisors (381994803244926).

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

256164546620034 is a wasteful number, since it uses less digits than its factorization.

256164546620034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411478 (or 411469 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 256164546620034 in words is "two hundred fifty-six trillion, one hundred sixty-four billion, five hundred forty-six million, six hundred twenty thousand, thirty-four".