13911012154368 has 528 divisors, whose sum is σ = 48107293090560. Its totient is φ = 3959361036288.

The previous prime is 13911012154367. The next prime is 13911012154397. The reversal of 13911012154368 is 86345121011931.

13911012154368 is a `hidden beast` number, since 1 + 3 + 9 + 110 + 121 + 54 + 368 = 666.

It is a super-2 number, since 2×13911012154368² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13911012154367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356280255 + ... + 356319297.

It is an arithmetic number, because the mean of its divisors is an integer number (91112297520).

Almost surely, 2^{13911012154368} is an apocalyptic number.

13911012154368 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 13911012154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053646545280).

13911012154368 is an abundant number, since it is smaller than the sum of its proper divisors (34196280936192).

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

13911012154368 is a wasteful number, since it uses less digits than its factorization.

13911012154368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39349 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13911012154368 in words is "thirteen trillion, nine hundred eleven billion, twelve million, one hundred fifty-four thousand, three hundred sixty-eight".