18121614085176 has 256 divisors, whose sum is σ = 56627000156160. Its totient is φ = 4712771911680.

The previous prime is 18121614085153. The next prime is 18121614085241. The reversal of 18121614085176 is 67158041612181.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137430510 + ... + 137562306.

It is an arithmetic number, because the mean of its divisors is an integer number (221199219360).

Almost surely, 2^{18121614085176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18121614085176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28313500078080).

18121614085176 is an abundant number, since it is smaller than the sum of its proper divisors (38505386070984).

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

18121614085176 is a wasteful number, since it uses less digits than its factorization.

18121614085176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133414 (or 133410 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 18121614085176 in words is "eighteen trillion, one hundred twenty-one billion, six hundred fourteen million, eighty-five thousand, one hundred seventy-six".