613314413316 has 72 divisors (see below), whose sum is σ = 1780274714400. Its totient is φ = 176071121280.

The previous prime is 613314413281. The next prime is 613314413353.

613314413316 is a `hidden beast` number, since 6 + 1 + 3 + 314 + 4 + 1 + 331 + 6 = 666.

613314413316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×613314413316² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40749681 + ... + 40764728.

It is an arithmetic number, because the mean of its divisors is an integer number (24726037700).

Almost surely, 2^613314413316 is an apocalyptic number.

613314413316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

613314413316 is an abundant number, since it is smaller than the sum of its proper divisors (1166960301084).

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

613314413316 is a wasteful number, since it uses less digits than its factorization.

613314413316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81514449 (or 81514444 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 613314413316 in words is "six hundred thirteen billion, three hundred fourteen million, four hundred thirteen thousand, three hundred sixteen".