14913552960 has 336 divisors, whose sum is σ = 54205632000. Its totient is φ = 3753050112.

The previous prime is 14913552919. The next prime is 14913552967. The reversal of 14913552960 is 6925531941.

14913552960 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 3 + 552 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14913552967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24568977 + ... + 24569583.

Almost surely, 2^14913552960 is an apocalyptic number.

14913552960 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 14913552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102816000).

14913552960 is an abundant number, since it is smaller than the sum of its proper divisors (39292079040).

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

14913552960 is a wasteful number, since it uses less digits than its factorization.

14913552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 14913552960 in words is "fourteen billion, nine hundred thirteen million, five hundred fifty-two thousand, nine hundred sixty".