14955189979968 has 448 divisors, whose sum is σ = 50400218142720. Its totient is φ = 4259844255744.

The previous prime is 14955189979901. The next prime is 14955189980039. The reversal of 14955189979968 is 86997998155941.

14955189979968 is a `hidden beast` number, since 1 + 49 + 551 + 8 + 9 + 9 + 7 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 8679737955 + ... + 8679739677.

Almost surely, 2^{14955189979968} is an apocalyptic number.

14955189979968 is a gapful number since it is divisible by the number (18) 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 14955189979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200109071360).

14955189979968 is an abundant number, since it is smaller than the sum of its proper divisors (35445028162752).

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

14955189979968 is a wasteful number, since it uses less digits than its factorization.

14955189979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3515 counting only the distinct ones).

The product of its digits is 15872371200, while the sum is 90.

The spelling of 14955189979968 in words is "fourteen trillion, nine hundred fifty-five billion, one hundred eighty-nine million, nine hundred seventy-nine thousand, nine hundred sixty-eight".