152418406464 has 63 divisors (see below), whose sum is σ = 436906700607. Its totient is φ = 50803012224.

The previous prime is 152418406457. The next prime is 152418406477. The reversal of 152418406464 is 464604814251.

The square root of 152418406464 is 390408.

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

152418406464 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 184 + 0 + 6 + 464 = 666.

152418406464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9361659 + ... + 9377925.

Almost surely, 2^152418406464 is an apocalyptic number.

152418406464 is the 390408-th square number.

It is an amenable number.

152418406464 is an abundant number, since it is smaller than the sum of its proper divisors (284488294143).

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

152418406464 is an frugal number, since it uses more digits than its factorization.

152418406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32552 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 152418406464 in words is "one hundred fifty-two billion, four hundred eighteen million, four hundred six thousand, four hundred sixty-four".