256176671652 has 48 divisors (see below), whose sum is σ = 724540084800. Its totient is φ = 77629294080.

The previous prime is 256176671651. The next prime is 256176671687.

It is a happy number.

256176671652 is a `hidden beast` number, since 2 + 5 + 617 + 6 + 6 + 7 + 16 + 5 + 2 = 666.

256176671652 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (256176671651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107817277 + ... + 107819652.

It is an arithmetic number, because the mean of its divisors is an integer number (15094585100).

Almost surely, 2^256176671652 is an apocalyptic number.

256176671652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256176671652 is an abundant number, since it is smaller than the sum of its proper divisors (468363413148).

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

256176671652 is a wasteful number, since it uses less digits than its factorization.

256176671652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215636953 (or 215636945 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 256176671652 in words is "two hundred fifty-six billion, one hundred seventy-six million, six hundred seventy-one thousand, six hundred fifty-two".