186113664 has 192 divisors, whose sum is σ = 615794400. Its totient is φ = 53360640.

The previous prime is 186113617. The next prime is 186113689. The reversal of 186113664 is 466311681.

186113664 is a `hidden beast` number, since 1 + 8 + 611 + 36 + 6 + 4 = 666.

186113664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 240382 + ... + 241154.

Almost surely, 2^186113664 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 186113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307897200).

186113664 is an abundant number, since it is smaller than the sum of its proper divisors (429680736).

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

186113664 is a wasteful number, since it uses less digits than its factorization.

186113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 186113664 is about 13642.3481849717. The cubic root of 186113664 is about 570.9430004557.

The spelling of 186113664 in words is "one hundred eighty-six million, one hundred thirteen thousand, six hundred sixty-four".