18461590488 has 144 divisors (see below), whose sum is σ = 55997192160. Its totient is φ = 5488728960.

The previous prime is 18461590451. The next prime is 18461590507. The reversal of 18461590488 is 88409516481.

It is a happy number.

18461590488 is a `hidden beast` number, since 1 + 8 + 4 + 6 + 1 + 590 + 48 + 8 = 666.

It is a super-3 number, since 3×18461590488³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441745 + ... + 481727.

It is an arithmetic number, because the mean of its divisors is an integer number (388869390).

Almost surely, 2^18461590488 is an apocalyptic number.

18461590488 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 18461590488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998596080).

18461590488 is an abundant number, since it is smaller than the sum of its proper divisors (37535601672).

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

18461590488 is a wasteful number, since it uses less digits than its factorization.

18461590488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40070 (or 40052 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 18461590488 in words is "eighteen billion, four hundred sixty-one million, five hundred ninety thousand, four hundred eighty-eight".