2256479035776 has 192 divisors, whose sum is σ = 7857382834080. Its totient is φ = 606784241664.

The previous prime is 2256479035771. The next prime is 2256479035813. The reversal of 2256479035776 is 6775309746522.

It is a happy number.

2256479035776 is a `hidden beast` number, since 2 + 2 + 56 + 4 + 7 + 9 + 0 + 3 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256479035771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8092951 + ... + 8367126.

Almost surely, 2^{2256479035776} is an apocalyptic number.

It is an amenable number.

2256479035776 is an abundant number, since it is smaller than the sum of its proper divisors (5600903798304).

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

2256479035776 is a wasteful number, since it uses less digits than its factorization.

2256479035776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16460121 (or 16460106 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 2256479035776 in words is "two trillion, two hundred fifty-six billion, four hundred seventy-nine million, thirty-five thousand, seven hundred seventy-six".