18981337890240 has 672 divisors, whose sum is σ = 72498035750400. Its totient is φ = 4519316643840.

The previous prime is 18981337890239. The next prime is 18981337890247. The reversal of 18981337890240 is 4209873318981.

18981337890240 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 13 + 378 + 9 + 0 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18981337890247) 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, 2297144349 + ... + 2297152611.

Almost surely, 2^{18981337890240} is an apocalyptic number.

18981337890240 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 18981337890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36249017875200).

18981337890240 is an abundant number, since it is smaller than the sum of its proper divisors (53516697860160).

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

18981337890240 is a wasteful number, since it uses less digits than its factorization.

18981337890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 18981337890240 in words is "eighteen trillion, nine hundred eighty-one billion, three hundred thirty-seven million, eight hundred ninety thousand, two hundred forty".