14985564672 has 320 divisors, whose sum is σ = 45493088256. Its totient is φ = 4350689280.

The previous prime is 14985564667. The next prime is 14985564679. The reversal of 14985564672 is 27646558941.

It is not an unprimeable number, because it can be changed into a prime (14985564679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26617063 + ... + 26617625.

Almost surely, 2^14985564672 is an apocalyptic number.

14985564672 is a gapful number since it is divisible by the number (12) 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 14985564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746544128).

14985564672 is an abundant number, since it is smaller than the sum of its proper divisors (30507523584).

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

14985564672 is a wasteful number, since it uses less digits than its factorization.

14985564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 14985564672 in words is "fourteen billion, nine hundred eighty-five million, five hundred sixty-four thousand, six hundred seventy-two".