18074236444992 has 672 divisors, whose sum is σ = 67149609363200. Its totient is φ = 4513804517376.

The previous prime is 18074236444961. The next prime is 18074236444997. The reversal of 18074236444992 is 29944463247081.

18074236444992 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 42 + 3 + 64 + 449 + 92 = 666.

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

It is a super-3 number, since 3×18074236444992³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18074236444997) 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, 3681854634 + ... + 3681859542.

Almost surely, 2^{18074236444992} is an apocalyptic number.

18074236444992 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 18074236444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33574804681600).

18074236444992 is an abundant number, since it is smaller than the sum of its proper divisors (49075372918208).

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

18074236444992 is a wasteful number, since it uses less digits than its factorization.

18074236444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 18074236444992 in words is "eighteen trillion, seventy-four billion, two hundred thirty-six million, four hundred forty-four thousand, nine hundred ninety-two".