201865731984 has 120 divisors (see below), whose sum is σ = 674030207520. Its totient is φ = 57675917376.

The previous prime is 201865731973. The next prime is 201865731997. The reversal of 201865731984 is 489137568102.

201865731984 is a `hidden beast` number, since 20 + 186 + 57 + 319 + 84 = 666.

It is a super-2 number, since 2×201865731984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 201865731984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4747014 + ... + 4789349.

It is an arithmetic number, because the mean of its divisors is an integer number (5616918396).

It is a 1-persistent number, because it is pandigital, but 2⋅201865731984 = 403731463968 is not.

Almost surely, 2^201865731984 is an apocalyptic number.

201865731984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201865731984 is an abundant number, since it is smaller than the sum of its proper divisors (472164475536).

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

201865731984 is a wasteful number, since it uses less digits than its factorization.

201865731984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536394 (or 9536375 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 201865731984 in words is "two hundred one billion, eight hundred sixty-five million, seven hundred thirty-one thousand, nine hundred eighty-four".