18745140960 has 768 divisors, whose sum is σ = 82788894720. Its totient is φ = 3855237120.

The previous prime is 18745140943. The next prime is 18745140983. The reversal of 18745140960 is 6904154781.

18745140960 is a `hidden beast` number, since 1 + 8 + 74 + 514 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×18745140960² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16117339 + ... + 16118501.

It is an arithmetic number, because the mean of its divisors is an integer number (107798040).

Almost surely, 2^18745140960 is an apocalyptic number.

18745140960 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 18745140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41394447360).

18745140960 is an abundant number, since it is smaller than the sum of its proper divisors (64043753760).

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

18745140960 is a wasteful number, since it uses less digits than its factorization.

18745140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18745140960 in words is "eighteen billion, seven hundred forty-five million, one hundred forty thousand, nine hundred sixty".