201479897518956 has 288 divisors, whose sum is σ = 612572682758400. Its totient is φ = 57098931402240.

The previous prime is 201479897518951. The next prime is 201479897518997. The reversal of 201479897518956 is 659815798974102.

201479897518956 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 7 + 9 + 8 + 9 + 7 + 518 + 95 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (201479897518951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802400980 + ... + 802652036.

It is an arithmetic number, because the mean of its divisors is an integer number (2126988481800).

Almost surely, 2^{201479897518956} 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 201479897518956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306286341379200).

201479897518956 is an abundant number, since it is smaller than the sum of its proper divisors (411092785239444).

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

201479897518956 is a wasteful number, since it uses less digits than its factorization.

201479897518956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252314 (or 252299 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 81.

The spelling of 201479897518956 in words is "two hundred one trillion, four hundred seventy-nine billion, eight hundred ninety-seven million, five hundred eighteen thousand, nine hundred fifty-six".