201531045888 has 576 divisors, whose sum is σ = 639569548800. Its totient is φ = 60914073600.

The previous prime is 201531045841. The next prime is 201531045899. The reversal of 201531045888 is 888540135102.

201531045888 is a `hidden beast` number, since 2 + 0 + 1 + 53 + 10 + 4 + 588 + 8 = 666.

201531045888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×201531045888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334642613 + ... + 1334642763.

It is an arithmetic number, because the mean of its divisors is an integer number (1110363800).

Almost surely, 2^201531045888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201531045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319784774400).

201531045888 is an abundant number, since it is smaller than the sum of its proper divisors (438038502912).

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

201531045888 is a wasteful number, since it uses less digits than its factorization.

201531045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 201531045888 in words is "two hundred one billion, five hundred thirty-one million, forty-five thousand, eight hundred eighty-eight".