201499913133792 has 768 divisors, whose sum is σ = 740534809190400. Its totient is φ = 51884577423360.

The previous prime is 201499913133731. The next prime is 201499913133803. The reversal of 201499913133792 is 297331319994102.

201499913133792 is a `hidden beast` number, since 2 + 0 + 1 + 49 + 99 + 131 + 3 + 379 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1511322492 + ... + 1511455812.

It is an arithmetic number, because the mean of its divisors is an integer number (964238032800).

Almost surely, 2^{201499913133792} 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 201499913133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370267404595200).

201499913133792 is an abundant number, since it is smaller than the sum of its proper divisors (539034896056608).

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

201499913133792 is a wasteful number, since it uses less digits than its factorization.

201499913133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133816 (or 133802 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 201499913133792 in words is "two hundred one trillion, four hundred ninety-nine billion, nine hundred thirteen million, one hundred thirty-three thousand, seven hundred ninety-two".