4704665112576 has 1053 divisors, whose sum is σ = 16382070827577. Its totient is φ = 1299332136960.

The previous prime is 4704665112503. The next prime is 4704665112583. The reversal of 4704665112576 is 6752115664074.

The square root of 4704665112576 is 2169024.

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

4704665112576 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 6 + 6 + 51 + 12 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 695956377600 + 4008708734976 = 834240^2 + 2002176^2 .

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, 59552722905 + ... + 59552722983.

Almost surely, 2^{4704665112576} is an apocalyptic number.

4704665112576 is the 2169024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4704665112576

4704665112576 is an abundant number, since it is smaller than the sum of its proper divisors (11677405715001).

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

4704665112576 is a wasteful number, since it uses less digits than its factorization.

4704665112576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 108 counting only the distinct ones).

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

The spelling of 4704665112576 in words is "four trillion, seven hundred four billion, six hundred sixty-five million, one hundred twelve thousand, five hundred seventy-six".