157472461584 has 225 divisors, whose sum is σ = 465180486309. Its totient is φ = 51428908800.

The previous prime is 157472461537. The next prime is 157472461603. The reversal of 157472461584 is 485164274751.

It is a happy number.

The square root of 157472461584 is 396828.

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

157472461584 is a `hidden beast` number, since 1 + 57 + 4 + 7 + 2 + 4 + 6 + 1 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89389040400 + 68083421184 = 298980^2 + 260928^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 157472461584.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1042863909 + ... + 1042864059.

Almost surely, 2^157472461584 is an apocalyptic number.

157472461584 is the 396828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157472461584

157472461584 is an abundant number, since it is smaller than the sum of its proper divisors (307708024725).

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

157472461584 is an frugal number, since it uses more digits than its factorization.

157472461584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 229 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 157472461584 in words is "one hundred fifty-seven billion, four hundred seventy-two million, four hundred sixty-one thousand, five hundred eighty-four".