13716167344128 has 360 divisors, whose sum is σ = 42580756344672. Its totient is φ = 4238833876992.

The previous prime is 13716167344063. The next prime is 13716167344157. The reversal of 13716167344128 is 82144376161731.

13716167344128 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 616 + 7 + 3 + 4 + 4 + 12 + 8 = 666.

It is a super-2 number, since 2×13716167344128² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 167911551 + ... + 167993217.

Almost surely, 2^{13716167344128} is an apocalyptic number.

13716167344128 is a gapful number since it is divisible by the number (18) 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 13716167344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290378172336).

13716167344128 is an abundant number, since it is smaller than the sum of its proper divisors (28864589000544).

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

13716167344128 is an equidigital number, since it uses as much as digits as its factorization.

13716167344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81785 (or 81756 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13716167344128 in words is "thirteen trillion, seven hundred sixteen billion, one hundred sixty-seven million, three hundred forty-four thousand, one hundred twenty-eight".