185316874742016 has 864 divisors, whose sum is σ = 586714262359680. Its totient is φ = 58176523468800.

The previous prime is 185316874742003. The next prime is 185316874742033. The reversal of 185316874742016 is 610247478613581.

185316874742016 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 168 + 7 + 47 + 420 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225720918886 + ... + 225720919706.

Almost surely, 2^{185316874742016} is an apocalyptic number.

185316874742016 is a gapful number since it is divisible by the number (16) 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 185316874742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293357131179840).

185316874742016 is an abundant number, since it is smaller than the sum of its proper divisors (401397387617664).

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

185316874742016 is an equidigital number, since it uses as much as digits as its factorization.

185316874742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 185316874742016 in words is "one hundred eighty-five trillion, three hundred sixteen billion, eight hundred seventy-four million, seven hundred forty-two thousand, sixteen".