13418748108864 has 168 divisors, whose sum is σ = 44892306870528. Its totient is φ = 3752355041280.

The previous prime is 13418748108847. The next prime is 13418748108893. The reversal of 13418748108864 is 46880184781431.

13418748108864 is a `hidden beast` number, since 1 + 3 + 4 + 18 + 7 + 481 + 0 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 35215417 + ... + 35594424.

Almost surely, 2^{13418748108864} is an apocalyptic number.

13418748108864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13418748108864 is an abundant number, since it is smaller than the sum of its proper divisors (31473558761664).

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

13418748108864 is a wasteful number, since it uses less digits than its factorization.

13418748108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70809913 (or 70809900 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 13418748108864 in words is "thirteen trillion, four hundred eighteen billion, seven hundred forty-eight million, one hundred eight thousand, eight hundred sixty-four".