13414680072 has 48 divisors (see below), whose sum is σ = 37176350640. Its totient is φ = 4367569248.

The previous prime is 13414680061. The next prime is 13414680073. The reversal of 13414680072 is 27008641431.

It is a super-2 number, since 2×13414680072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13414680073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163358 + ... + 2169549.

It is an arithmetic number, because the mean of its divisors is an integer number (774507305).

Almost surely, 2^13414680072 is an apocalyptic number.

13414680072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13414680072 is an abundant number, since it is smaller than the sum of its proper divisors (23761670568).

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

13414680072 is a wasteful number, since it uses less digits than its factorization.

13414680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332962 (or 4332955 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13414680072 in words is "thirteen billion, four hundred fourteen million, six hundred eighty thousand, seventy-two".