201601882492224 has 112 divisors (see below), whose sum is σ = 551806045504320. Its totient is φ = 64882448547840.

The previous prime is 201601882492187. The next prime is 201601882492273. The reversal of 201601882492224 is 422294288106102.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 472849767 + ... + 473275929.

Almost surely, 2^{201601882492224} is an apocalyptic number.

201601882492224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201601882492224 is an abundant number, since it is smaller than the sum of its proper divisors (350204163012096).

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

201601882492224 is a wasteful number, since it uses less digits than its factorization.

201601882492224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511168 (or 511158 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 201601882492224 in words is "two hundred one trillion, six hundred one billion, eight hundred eighty-two million, four hundred ninety-two thousand, two hundred twenty-four".