18098735616 has 240 divisors, whose sum is σ = 57632014440. Its totient is φ = 5432279040.

The previous prime is 18098735593. The next prime is 18098735617. The reversal of 18098735616 is 61653789081.

18098735616 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 8 + 73 + 561 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12029702400 + 6069033216 = 109680^2 + 77904^2 .

It is not an unprimeable number, because it can be changed into a prime (18098735617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2452380 + ... + 2459748.

Almost surely, 2^18098735616 is an apocalyptic number.

18098735616 is a gapful number since it is divisible by the number (16) 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 18098735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28816007220).

18098735616 is an abundant number, since it is smaller than the sum of its proper divisors (39533278824).

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

18098735616 is a wasteful number, since it uses less digits than its factorization.

18098735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 18098735616 in words is "eighteen billion, ninety-eight million, seven hundred thirty-five thousand, six hundred sixteen".