18698117760 has 960 divisors, whose sum is σ = 82435426920. Its totient is φ = 4013162496.

The previous prime is 18698117719. The next prime is 18698117783. The reversal of 18698117760 is 6771189681.

It can be written as a sum of positive squares in 4 ways, for example, as 13790274624 + 4907843136 = 117432^2 + 70056^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18698117697 and 18698117706.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182504 + ... + 43182936.

Almost surely, 2^18698117760 is an apocalyptic number.

18698117760 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 18698117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41217713460).

18698117760 is an abundant number, since it is smaller than the sum of its proper divisors (63737309160).

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

18698117760 is a wasteful number, since it uses less digits than its factorization.

18698117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 18698117760 in words is "eighteen billion, six hundred ninety-eight million, one hundred seventeen thousand, seven hundred sixty".