13118853581568 has 864 divisors, whose sum is σ = 48571578671616. Its totient is φ = 3445634433024.

The previous prime is 13118853581549. The next prime is 13118853581591. The reversal of 13118853581568 is 86518535881131.

13118853581568 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 88 + 535 + 8 + 15 + 6 + 8 = 666.

13118853581568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 318297730 + ... + 318338942.

It is an arithmetic number, because the mean of its divisors is an integer number (56217104944).

Almost surely, 2^{13118853581568} is an apocalyptic number.

13118853581568 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 13118853581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285789335808).

13118853581568 is an abundant number, since it is smaller than the sum of its proper divisors (35452725090048).

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

13118853581568 is an equidigital number, since it uses as much as digits as its factorization.

13118853581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41311 (or 41285 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 63.

The spelling of 13118853581568 in words is "thirteen trillion, one hundred eighteen billion, eight hundred fifty-three million, five hundred eighty-one thousand, five hundred sixty-eight".