13622617413120 has 640 divisors, whose sum is σ = 44971435643904. Its totient is φ = 3516563718144.

The previous prime is 13622617413049. The next prime is 13622617413133. The reversal of 13622617413120 is 2131471622631.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7771030164 + ... + 7771031916.

Almost surely, 2^{13622617413120} is an apocalyptic number.

13622617413120 is a gapful number since it is divisible by the number (10) 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 13622617413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22485717821952).

13622617413120 is an abundant number, since it is smaller than the sum of its proper divisors (31348818230784).

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

13622617413120 is a wasteful number, since it uses less digits than its factorization.

13622617413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13622617413120 in words is "thirteen trillion, six hundred twenty-two billion, six hundred seventeen million, four hundred thirteen thousand, one hundred twenty".