13578836964 has 96 divisors (see below), whose sum is σ = 39803968512. Its totient is φ = 3500016000.

The previous prime is 13578836939. The next prime is 13578836977. The reversal of 13578836964 is 46963887531.

It is a junction number, because it is equal to n+sod(n) for n = 13578836898 and 13578836907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64954 + ... + 177134.

It is an arithmetic number, because the mean of its divisors is an integer number (414624672).

Almost surely, 2^13578836964 is an apocalyptic number.

13578836964 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 13578836964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901984256).

13578836964 is an abundant number, since it is smaller than the sum of its proper divisors (26225131548).

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

13578836964 is a wasteful number, since it uses less digits than its factorization.

13578836964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112337 (or 112335 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 13578836964 in words is "thirteen billion, five hundred seventy-eight million, eight hundred thirty-six thousand, nine hundred sixty-four".