14329533976128 has 168 divisors, whose sum is σ = 48454809628160. Its totient is φ = 3962083092480.

The previous prime is 14329533976091. The next prime is 14329533976141. The reversal of 14329533976128 is 82167933592341.

14329533976128 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 9 + 5 + 3 + 3 + 9 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57196813 + ... + 57446796.

Almost surely, 2^{14329533976128} is an apocalyptic number.

14329533976128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14329533976128 is an abundant number, since it is smaller than the sum of its proper divisors (34125275652032).

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

14329533976128 is a wasteful number, since it uses less digits than its factorization.

14329533976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114643665 (or 114643652 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 14329533976128 in words is "fourteen trillion, three hundred twenty-nine billion, five hundred thirty-three million, nine hundred seventy-six thousand, one hundred twenty-eight".