18074054776320 has 1120 divisors, whose sum is σ = 66514063809600. Its totient is φ = 4706372616192.

The previous prime is 18074054776307. The next prime is 18074054776331. The reversal of 18074054776320 is 2367745047081.

18074054776320 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 4 + 0 + 547 + 76 + 3 + 20 = 666.

It is a super-3 number, since 3×18074054776320³ (a number of 41 digits) contains 333 as substring.

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 111 ways as a sum of consecutive naturals, for example, 35508948226 + ... + 35508948734.

Almost surely, 2^{18074054776320} is an apocalyptic number.

18074054776320 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 18074054776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33257031904800).

18074054776320 is an abundant number, since it is smaller than the sum of its proper divisors (48440009033280).

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

18074054776320 is an frugal number, since it uses more digits than its factorization.

18074054776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 18074054776320 in words is "eighteen trillion, seventy-four billion, fifty-four million, seven hundred seventy-six thousand, three hundred twenty".