13306722674112 has 672 divisors, whose sum is σ = 45925248125952. Its totient is φ = 3601610293248.

The previous prime is 13306722673931. The next prime is 13306722674117. The reversal of 13306722674112 is 21147622760331.

It is a happy number.

13306722674112 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 6 + 7 + 226 + 7 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13306722674117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4791760468 + ... + 4791763244.

Almost surely, 2^{13306722674112} is an apocalyptic number.

13306722674112 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 13306722674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22962624062976).

13306722674112 is an abundant number, since it is smaller than the sum of its proper divisors (32618525451840).

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

13306722674112 is a wasteful number, since it uses less digits than its factorization.

13306722674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13306722674112 in words is "thirteen trillion, three hundred six billion, seven hundred twenty-two million, six hundred seventy-four thousand, one hundred twelve".