256374473652 has 96 divisors (see below), whose sum is σ = 725251968000. Its totient is φ = 77672901600.

The previous prime is 256374473633. The next prime is 256374473659.

256374473652 is a `hidden beast` number, since 2 + 56 + 3 + 74 + 473 + 6 + 52 = 666.

256374473652 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 (256374473659) 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, 6394027 + ... + 6433997.

It is an arithmetic number, because the mean of its divisors is an integer number (7554708000).

Almost surely, 2^256374473652 is an apocalyptic number.

256374473652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256374473652 is an abundant number, since it is smaller than the sum of its proper divisors (468877494348).

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

256374473652 is a wasteful number, since it uses less digits than its factorization.

256374473652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45394 (or 45386 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 256374473652 in words is "two hundred fifty-six billion, three hundred seventy-four million, four hundred seventy-three thousand, six hundred fifty-two".