13418115072 has 104 divisors (see below), whose sum is σ = 35896238400. Its totient is φ = 4457840640.

The previous prime is 13418115047. The next prime is 13418115097. The reversal of 13418115072 is 27051181431.

It is an interprime number because it is at equal distance from previous prime (13418115047) and next prime (13418115097).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4065679 + ... + 4068977.

Almost surely, 2^13418115072 is an apocalyptic number.

13418115072 is a gapful number since it is divisible by the number (12) 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 13418115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948119200).

13418115072 is an abundant number, since it is smaller than the sum of its proper divisors (22478123328).

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

13418115072 is an equidigital number, since it uses as much as digits as its factorization.

13418115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 13418115072 in words is "thirteen billion, four hundred eighteen million, one hundred fifteen thousand, seventy-two".