156603449656900 has 81 divisors (see below), whose sum is σ = 340811269859109. Its totient is φ = 62460926108160.

The previous prime is 156603449656847. The next prime is 156603449656919. The reversal of 156603449656900 is 9656944306651.

The square root of 156603449656900 is 12514130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 70991510517316 + 85611939139584 = 8425646^2 + 9252672^2 .

It is a super-2 number, since 2×156603449656900² (a number of 29 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 48679964092 + ... + 48679967308.

Almost surely, 2^{156603449656900} is an apocalyptic number.

156603449656900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156603449656900 is the 12514130-th square number.

It is an amenable number.

156603449656900 is an abundant number, since it is smaller than the sum of its proper divisors (184207820202209).

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

156603449656900 is an frugal number, since it uses more digits than its factorization.

156603449656900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 64.

The spelling of 156603449656900 in words is "one hundred fifty-six trillion, six hundred three billion, four hundred forty-nine million, six hundred fifty-six thousand, nine hundred".