13974129082368 has 1000 divisors, whose sum is σ = 51839179975968. Its totient is φ = 3652869685248.

The previous prime is 13974129082357. The next prime is 13974129082409. The reversal of 13974129082368 is 86328092147931.

13974129082368 is a `hidden beast` number, since 1 + 3 + 9 + 74 + 129 + 0 + 82 + 368 = 666.

It is a super-2 number, since 2×13974129082368² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 123664859080 + ... + 123664859192.

Almost surely, 2^{13974129082368} is an apocalyptic number.

13974129082368 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 13974129082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25919589987984).

13974129082368 is an abundant number, since it is smaller than the sum of its proper divisors (37865050893600).

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

13974129082368 is an frugal number, since it uses more digits than its factorization.

13974129082368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 13974129082368 in words is "thirteen trillion, nine hundred seventy-four billion, one hundred twenty-nine million, eighty-two thousand, three hundred sixty-eight".