202001538864 has 120 divisors (see below), whose sum is σ = 538136081392. Its totient is φ = 65281904640.

The previous prime is 202001538821. The next prime is 202001538913. The reversal of 202001538864 is 468835100202.

202001538864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12189144 + ... + 12205704.

Almost surely, 2^202001538864 is an apocalyptic number.

202001538864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202001538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269068040696).

202001538864 is an abundant number, since it is smaller than the sum of its proper divisors (336134542528).

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

202001538864 is a wasteful number, since it uses less digits than its factorization.

202001538864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 202001538864 in words is "two hundred two billion, one million, five hundred thirty-eight thousand, eight hundred sixty-four".