18971314560 has 1280 divisors, whose sum is σ = 83175206400. Its totient is φ = 4060938240.

The previous prime is 18971314553. The next prime is 18971314567. The reversal of 18971314560 is 6541317981.

18971314560 is a `hidden beast` number, since 1 + 8 + 9 + 71 + 3 + 14 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (18971314553) and next prime (18971314567).

It is a super-2 number, since 2×18971314560² (a number of 21 digits) contains 22 as substring.

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 (18971314567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184187469 + ... + 184187571.

It is an arithmetic number, because the mean of its divisors is an integer number (64980630).

Almost surely, 2^18971314560 is an apocalyptic number.

18971314560 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 18971314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41587603200).

18971314560 is an abundant number, since it is smaller than the sum of its proper divisors (64203891840).

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

18971314560 is a wasteful number, since it uses less digits than its factorization.

18971314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18971314560 in words is "eighteen billion, nine hundred seventy-one million, three hundred fourteen thousand, five hundred sixty".