14864072000 has 112 divisors (see below), whose sum is σ = 38411822592. Its totient is φ = 5687052800.

The previous prime is 14864071979. The next prime is 14864072011. The reversal of 14864072000 is 27046841.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143609 + ... + 224391.

Almost surely, 2^14864072000 is an apocalyptic number.

14864072000 is a gapful number since it is divisible by the number (10) 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 14864072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205911296).

14864072000 is an abundant number, since it is smaller than the sum of its proper divisors (23547750592).

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

14864072000 is an equidigital number, since it uses as much as digits as its factorization.

14864072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80833 (or 80813 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 14864072000 in words is "fourteen billion, eight hundred sixty-four million, seventy-two thousand".