4761054176256 has 891 divisors, whose sum is σ = 17077365147297. Its totient is φ = 1273580421120.

The previous prime is 4761054176237. The next prime is 4761054176297. The reversal of 4761054176256 is 6526714501674.

The square root of 4761054176256 is 2181984.

It is a perfect power (a square), and thus also a powerful number.

4761054176256 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 0 + 5 + 4 + 1 + 7 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3706703078400 + 1054351097856 = 1925280^2 + 1026816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24926985121 + ... + 24926985311.

Almost surely, 2^{4761054176256} is an apocalyptic number.

4761054176256 is the 2181984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761054176256

4761054176256 is an abundant number, since it is smaller than the sum of its proper divisors (12316310971041).

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

4761054176256 is a wasteful number, since it uses less digits than its factorization.

4761054176256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4761054176256 in words is "four trillion, seven hundred sixty-one billion, fifty-four million, one hundred seventy-six thousand, two hundred fifty-six".