13718711051136 has 1536 divisors, whose sum is σ = 54346481280000. Its totient is φ = 3214543159296.

The previous prime is 13718711051107. The next prime is 13718711051159. The reversal of 13718711051136 is 63115011781731.

13718711051136 is a `hidden beast` number, since 1 + 3 + 7 + 18 + 7 + 110 + 511 + 3 + 6 = 666.

It is a super-2 number, since 2×13718711051136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13718711051091 and 13718711051100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12833218410 + ... + 12833219478.

It is an arithmetic number, because the mean of its divisors is an integer number (35381823750).

Almost surely, 2^{13718711051136} is an apocalyptic number.

13718711051136 is a gapful number since it is divisible by the number (16) 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 13718711051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27173240640000).

13718711051136 is an abundant number, since it is smaller than the sum of its proper divisors (40627770228864).

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

13718711051136 is a wasteful number, since it uses less digits than its factorization.

13718711051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 13718711051136 in words is "thirteen trillion, seven hundred eighteen billion, seven hundred eleven million, fifty-one thousand, one hundred thirty-six".