1572485904144 has 315 divisors, whose sum is σ = 4859571387013. Its totient is φ = 492606614016.

The previous prime is 1572485904097. The next prime is 1572485904151. The reversal of 1572485904144 is 4414095842751.

The square root of 1572485904144 is 1253988.

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

1572485904144 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 4 + 8 + 590 + 4 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1224253731600 + 348232172544 = 1106460^2 + 590112^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2302321627 + ... + 2302322309.

Almost surely, 2^{1572485904144} is an apocalyptic number.

1572485904144 is the 1253988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1572485904144

1572485904144 is an abundant number, since it is smaller than the sum of its proper divisors (3287085482869).

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

1572485904144 is an frugal number, since it uses more digits than its factorization.

1572485904144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1572485904144 in words is "one trillion, five hundred seventy-two billion, four hundred eighty-five million, nine hundred four thousand, one hundred forty-four".