18269314560 has 640 divisors, whose sum is σ = 75502310400. Its totient is φ = 4100751360.

The previous prime is 18269314513. The next prime is 18269314561. The reversal of 18269314560 is 6541396281.

18269314560 is a `hidden beast` number, since 1 + 82 + 6 + 9 + 3 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18269314561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29513931 + ... + 29514549.

It is an arithmetic number, because the mean of its divisors is an integer number (117972360).

Almost surely, 2^18269314560 is an apocalyptic number.

18269314560 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 18269314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751155200).

18269314560 is an abundant number, since it is smaller than the sum of its proper divisors (57232995840).

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

18269314560 is an equidigital number, since it uses as much as digits as its factorization.

18269314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 18269314560 in words is "eighteen billion, two hundred sixty-nine million, three hundred fourteen thousand, five hundred sixty".