95604747061824 has 2835 divisors, whose sum is σ = 390236461741035. Its totient is φ = 22302697697280.

The previous prime is 95604747061819. The next prime is 95604747061841. The reversal of 95604747061824 is 42816074740659.

The square root of 95604747061824 is 9777768.

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

95604747061824 is a `hidden beast` number, since 9 + 5 + 6 + 0 + 4 + 7 + 4 + 7 + 0 + 618 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397111708224 + 95207635353600 = 630168^2 + 9757440^2 .

It is a super-3 number, since 3×95604747061824³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2583912082734 + ... + 2583912082770.

Almost surely, 2^{95604747061824} is an apocalyptic number.

95604747061824 is the 9777768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95604747061824

95604747061824 is an abundant number, since it is smaller than the sum of its proper divisors (294631714679211).

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

95604747061824 is a wasteful number, since it uses less digits than its factorization.

95604747061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 95604747061824 in words is "ninety-five trillion, six hundred four billion, seven hundred forty-seven million, sixty-one thousand, eight hundred twenty-four".