18098131968 has 660 divisors, whose sum is σ = 64774113492. Its totient is φ = 5016453120.

The previous prime is 18098131913. The next prime is 18098131981. The reversal of 18098131968 is 86913189081.

18098131968 is a `hidden beast` number, since 180 + 98 + 1 + 319 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 13672157184 = 66528^2 + 116928^2 .

It is a super-2 number, since 2×18098131968² (a number of 21 digits) contains 22 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 59 ways as a sum of consecutive naturals, for example, 247919580 + ... + 247919652.

Almost surely, 2^18098131968 is an apocalyptic number.

18098131968 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 18098131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387056746).

18098131968 is an abundant number, since it is smaller than the sum of its proper divisors (46675981524).

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

18098131968 is an equidigital number, since it uses as much as digits as its factorization.

18098131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 18098131968 in words is "eighteen billion, ninety-eight million, one hundred thirty-one thousand, nine hundred sixty-eight".