185423950116864 has 480 divisors, whose sum is σ = 570756726540000. Its totient is φ = 59939023749120.

The previous prime is 185423950116857. The next prime is 185423950116883. The reversal of 185423950116864 is 468611059324581.

It is a happy number.

185423950116864 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 2 + 3 + 9 + 501 + 1 + 68 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135753512 + ... + 1135916760.

It is an arithmetic number, because the mean of its divisors is an integer number (1189076513625).

Almost surely, 2^{185423950116864} 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 185423950116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285378363270000).

185423950116864 is an abundant number, since it is smaller than the sum of its proper divisors (385332776423136).

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

185423950116864 is a wasteful number, since it uses less digits than its factorization.

185423950116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163491 (or 163462 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 185423950116864 in words is "one hundred eighty-five trillion, four hundred twenty-three billion, nine hundred fifty million, one hundred sixteen thousand, eight hundred sixty-four".