203113624896 has 2240 divisors, whose sum is σ = 872393195520. Its totient is φ = 45148078080.

The previous prime is 203113624867. The next prime is 203113624921. The reversal of 203113624896 is 698426311302.

203113624896 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 13 + 624 + 8 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4723572651 + ... + 4723572693.

It is an arithmetic number, because the mean of its divisors is an integer number (389461248).

Almost surely, 2^203113624896 is an apocalyptic number.

203113624896 is a gapful number since it is divisible by the number (26) 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 203113624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436196597760).

203113624896 is an abundant number, since it is smaller than the sum of its proper divisors (669279570624).

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

203113624896 is a wasteful number, since it uses less digits than its factorization.

203113624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 203113624896 in words is "two hundred three billion, one hundred thirteen million, six hundred twenty-four thousand, eight hundred ninety-six".