13518893875248 has 120 divisors (see below), whose sum is σ = 39480418100448. Its totient is φ = 4310226809856.

The previous prime is 13518893875243. The next prime is 13518893875273. The reversal of 13518893875248 is 84257839881531.

13518893875248 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 8 + 8 + 93 + 8 + 7 + 524 + 8 = 666.

It is a super-2 number, since 2×13518893875248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13518893875243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143683836 + ... + 143777892.

Almost surely, 2^{13518893875248} is an apocalyptic number.

13518893875248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13518893875248 is an abundant number, since it is smaller than the sum of its proper divisors (25961524225200).

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

13518893875248 is a wasteful number, since it uses less digits than its factorization.

13518893875248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137491 (or 137482 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 13518893875248 in words is "thirteen trillion, five hundred eighteen billion, eight hundred ninety-three million, eight hundred seventy-five thousand, two hundred forty-eight".