13181914416 has 80 divisors (see below), whose sum is σ = 37232438400. Its totient is φ = 3985551360.

The previous prime is 13181914363. The next prime is 13181914423. The reversal of 13181914416 is 61441918131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209271 + ... + 264873.

It is an arithmetic number, because the mean of its divisors is an integer number (465405480).

Almost surely, 2^13181914416 is an apocalyptic number.

13181914416 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 13181914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616219200).

13181914416 is an abundant number, since it is smaller than the sum of its proper divisors (24050523984).

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

13181914416 is a wasteful number, since it uses less digits than its factorization.

13181914416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56074 (or 56068 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 13181914416 in words is "thirteen billion, one hundred eighty-one million, nine hundred fourteen thousand, four hundred sixteen".