185634968064 has 960 divisors, whose sum is σ = 661129185024. Its totient is φ = 45779779584.

The previous prime is 185634968053. The next prime is 185634968093. The reversal of 185634968064 is 460869436581.

It is a junction number, because it is equal to n+sod(n) for n = 185634967989 and 185634968007.

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, 1642787272 + ... + 1642787384.

Almost surely, 2^185634968064 is an apocalyptic number.

185634968064 is a gapful number since it is divisible by the number (14) 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 185634968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330564592512).

185634968064 is an abundant number, since it is smaller than the sum of its proper divisors (475494216960).

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

185634968064 is a wasteful number, since it uses less digits than its factorization.

185634968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 185634968064 in words is "one hundred eighty-five billion, six hundred thirty-four million, nine hundred sixty-eight thousand, sixty-four".