13516819452864 has 672 divisors, whose sum is σ = 49593575915520. Its totient is φ = 3424583245824.

The previous prime is 13516819452859. The next prime is 13516819452887. The reversal of 13516819452864 is 46825491861531.

It is a happy number.

13516819452864 is a `hidden beast` number, since 1 + 3 + 5 + 16 + 8 + 1 + 94 + 528 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153167857 + ... + 153256079.

It is an arithmetic number, because the mean of its divisors is an integer number (73799964160).

Almost surely, 2^{13516819452864} is an apocalyptic number.

13516819452864 is a gapful number since it is divisible by the number (14) 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 13516819452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796787957760).

13516819452864 is an abundant number, since it is smaller than the sum of its proper divisors (36076756462656).

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

13516819452864 is a wasteful number, since it uses less digits than its factorization.

13516819452864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88377 (or 88364 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 13516819452864 in words is "thirteen trillion, five hundred sixteen billion, eight hundred nineteen million, four hundred fifty-two thousand, eight hundred sixty-four".