14644372968 has 640 divisors, whose sum is σ = 49261132800. Its totient is φ = 4031078400.

The previous prime is 14644372913. The next prime is 14644372969. The reversal of 14644372968 is 86927344641.

14644372968 is a `hidden beast` number, since 1 + 46 + 443 + 72 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14644372969) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240071658 + ... + 240071718.

It is an arithmetic number, because the mean of its divisors is an integer number (76970520).

Almost surely, 2^14644372968 is an apocalyptic number.

14644372968 is a gapful number since it is divisible by the number (18) 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 14644372968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630566400).

14644372968 is an abundant number, since it is smaller than the sum of its proper divisors (34616759832).

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

14644372968 is a wasteful number, since it uses less digits than its factorization.

14644372968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 14644372968 in words is "fourteen billion, six hundred forty-four million, three hundred seventy-two thousand, nine hundred sixty-eight".