14640401664 has 216 divisors, whose sum is σ = 50782280640. Its totient is φ = 3962732544.

The previous prime is 14640401663. The next prime is 14640401707. The reversal of 14640401664 is 46610404641.

14640401664 is a `hidden beast` number, since 1 + 4 + 640 + 4 + 0 + 1 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14640401663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282544 + ... + 330320.

Almost surely, 2^14640401664 is an apocalyptic number.

14640401664 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 14640401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391140320).

14640401664 is an abundant number, since it is smaller than the sum of its proper divisors (36141878976).

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

14640401664 is a wasteful number, since it uses less digits than its factorization.

14640401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47825 (or 47808 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14640401664 in words is "fourteen billion, six hundred forty million, four hundred one thousand, six hundred sixty-four".