13571364864 has 192 divisors, whose sum is σ = 37447038720. Its totient is φ = 4368465920.

The previous prime is 13571364823. The next prime is 13571364881. The reversal of 13571364864 is 46846317531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23119579 + ... + 23120165.

It is an arithmetic number, because the mean of its divisors is an integer number (195036660).

Almost surely, 2^13571364864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13571364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723519360).

13571364864 is an abundant number, since it is smaller than the sum of its proper divisors (23875673856).

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

13571364864 is an equidigital number, since it uses as much as digits as its factorization.

13571364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 716 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 13571364864 in words is "thirteen billion, five hundred seventy-one million, three hundred sixty-four thousand, eight hundred sixty-four".