14938496064000 has 320 divisors, whose sum is σ = 55185300593280. Its totient is φ = 3983598489600.

The previous prime is 14938496063971. The next prime is 14938496064001. The reversal of 14938496064000 is 46069483941.

It is a happy number.

14938496064000 is a `hidden beast` number, since 1 + 4 + 93 + 8 + 496 + 0 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×14938496064000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14938496064001) 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, 2594482 + ... + 6050481.

It is an arithmetic number, because the mean of its divisors is an integer number (172454064354).

Almost surely, 2^{14938496064000} is an apocalyptic number.

14938496064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14938496064000 is an abundant number, since it is smaller than the sum of its proper divisors (40246804529280).

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

14938496064000 is an frugal number, since it uses more digits than its factorization.

14938496064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645005 (or 8644973 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14938496064000 in words is "fourteen trillion, nine hundred thirty-eight billion, four hundred ninety-six million, sixty-four thousand".