14922733120 has 224 divisors, whose sum is σ = 37605980160. Its totient is φ = 5634816000.

The previous prime is 14922733117. The next prime is 14922733121. The reversal of 14922733120 is 2133722941.

It is not an unprimeable number, because it can be changed into a prime (14922733121) 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, 59452995 + ... + 59453245.

It is an arithmetic number, because the mean of its divisors is an integer number (167883840).

Almost surely, 2^14922733120 is an apocalyptic number.

14922733120 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 14922733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802990080).

14922733120 is an abundant number, since it is smaller than the sum of its proper divisors (22683247040).

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

14922733120 is a wasteful number, since it uses less digits than its factorization.

14922733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 14922733120 in words is "fourteen billion, nine hundred twenty-two million, seven hundred thirty-three thousand, one hundred twenty".