18090251375616 has 792 divisors, whose sum is σ = 63904479702336. Its totient is φ = 5095601602560.

The previous prime is 18090251375557. The next prime is 18090251375641. The reversal of 18090251375616 is 61657315209081.

18090251375616 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 0 + 2 + 5 + 13 + 7 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 865676080 + ... + 865696976.

Almost surely, 2^{18090251375616} is an apocalyptic number.

18090251375616 is a gapful number since it is divisible by the number (16) 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 18090251375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952239851168).

18090251375616 is an abundant number, since it is smaller than the sum of its proper divisors (45814228326720).

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

18090251375616 is an equidigital number, since it uses as much as digits as its factorization.

18090251375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 18090251375616 in words is "eighteen trillion, ninety billion, two hundred fifty-one million, three hundred seventy-five thousand, six hundred sixteen".