14769648552960 has 3168 divisors, whose sum is σ = 66785043386880. Its totient is φ = 3110200934400.

The previous prime is 14769648552959. The next prime is 14769648553019. The reversal of 14769648552960 is 6925584696741.

14769648552960 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 9 + 6 + 4 + 8 + 552 + 9 + 60 = 666.

14769648552960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47490831205 + ... + 47490831515.

Almost surely, 2^{14769648552960} is an apocalyptic number.

14769648552960 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 14769648552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33392521693440).

14769648552960 is an abundant number, since it is smaller than the sum of its proper divisors (52015394833920).

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

14769648552960 is a wasteful number, since it uses less digits than its factorization.

14769648552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 14769648552960 in words is "fourteen trillion, seven hundred sixty-nine billion, six hundred forty-eight million, five hundred fifty-two thousand, nine hundred sixty".