14733688320 has 640 divisors, whose sum is σ = 59396198400. Its totient is φ = 3431890944.

The previous prime is 14733688303. The next prime is 14733688363. The reversal of 14733688320 is 2388633741.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072209 + ... + 17073071.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 2^14733688320 is an apocalyptic number.

14733688320 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 14733688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698099200).

14733688320 is an abundant number, since it is smaller than the sum of its proper divisors (44662510080).

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

14733688320 is a wasteful number, since it uses less digits than its factorization.

14733688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14733688320 in words is "fourteen billion, seven hundred thirty-three million, six hundred eighty-eight thousand, three hundred twenty".