13117564416 has 160 divisors (see below), whose sum is σ = 39155136768. Its totient is φ = 3867402240.

The previous prime is 13117564393. The next prime is 13117564417. The reversal of 13117564416 is 61446571131.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117564417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614661 + ... + 635643.

Almost surely, 2^13117564416 is an apocalyptic number.

13117564416 is a gapful number since it is divisible by the number (16) 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 13117564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577568384).

13117564416 is an abundant number, since it is smaller than the sum of its proper divisors (26037572352).

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

13117564416 is a wasteful number, since it uses less digits than its factorization.

13117564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21052 (or 21036 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

It can be divided in two parts, 131175 and 64416, that added together give a palindrome (195591).

The spelling of 13117564416 in words is "thirteen billion, one hundred seventeen million, five hundred sixty-four thousand, four hundred sixteen".