14936957088768 has 792 divisors, whose sum is σ = 51070858727616. Its totient is φ = 4168168243200.

The previous prime is 14936957088661. The next prime is 14936957088787. The reversal of 14936957088768 is 86788075963941.

14936957088768 is a `hidden beast` number, since 1 + 4 + 9 + 36 + 9 + 570 + 8 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×14936957088768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9885477133 + ... + 9885478643.

Almost surely, 2^{14936957088768} is an apocalyptic number.

14936957088768 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 14936957088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25535429363808).

14936957088768 is an abundant number, since it is smaller than the sum of its proper divisors (36133901638848).

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

14936957088768 is a wasteful number, since it uses less digits than its factorization.

14936957088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 14936957088768 in words is "fourteen trillion, nine hundred thirty-six billion, nine hundred fifty-seven million, eighty-eight thousand, seven hundred sixty-eight".