13835940915168 has 72 divisors (see below), whose sum is σ = 39346721341200. Its totient is φ = 4611890709504.

The previous prime is 13835940915157. The next prime is 13835940915211. The reversal of 13835940915168 is 86151904953831.

13835940915168 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 59 + 409 + 15 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13835940915168² (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 11 ways as a sum of consecutive naturals, for example, 15308248 + ... + 16186856.

It is an arithmetic number, because the mean of its divisors is an integer number (546482240850).

Almost surely, 2^{13835940915168} is an apocalyptic number.

13835940915168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13835940915168 is an abundant number, since it is smaller than the sum of its proper divisors (25510780426032).

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

13835940915168 is a wasteful number, since it uses less digits than its factorization.

13835940915168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933304 (or 933293 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 13835940915168 in words is "thirteen trillion, eight hundred thirty-five billion, nine hundred forty million, nine hundred fifteen thousand, one hundred sixty-eight".