18741379442688 has 960 divisors, whose sum is σ = 68182141547520. Its totient is φ = 5006770569216.

The previous prime is 18741379442657. The next prime is 18741379442713. The reversal of 18741379442688 is 88624497314781.

18741379442688 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 1 + 37 + 94 + 426 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3099282481 + ... + 3099288527.

It is an arithmetic number, because the mean of its divisors is an integer number (71023064112).

Almost surely, 2^{18741379442688} is an apocalyptic number.

18741379442688 is a gapful number since it is divisible by the number (18) 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 18741379442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34091070773760).

18741379442688 is an abundant number, since it is smaller than the sum of its proper divisors (49440762104832).

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

18741379442688 is a wasteful number, since it uses less digits than its factorization.

18741379442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6233 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 18741379442688 in words is "eighteen trillion, seven hundred forty-one billion, three hundred seventy-nine million, four hundred forty-two thousand, six hundred eighty-eight".