202904013312 has 1920 divisors, whose sum is σ = 858238402560. Its totient is φ = 45984153600.

The previous prime is 202904013253. The next prime is 202904013337. The reversal of 202904013312 is 213310409202.

It is a happy number.

202904013312 is a `hidden beast` number, since 2 + 0 + 290 + 40 + 1 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4718697963 + ... + 4718698005.

It is an arithmetic number, because the mean of its divisors is an integer number (446999168).

Almost surely, 2^202904013312 is an apocalyptic number.

202904013312 is a gapful number since it is divisible by the number (22) 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 202904013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429119201280).

202904013312 is an abundant number, since it is smaller than the sum of its proper divisors (655334389248).

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

202904013312 is a wasteful number, since it uses less digits than its factorization.

202904013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 202904013312 in words is "two hundred two billion, nine hundred four million, thirteen thousand, three hundred twelve".