18945140805360 has 480 divisors, whose sum is σ = 82810305158400. Its totient is φ = 3936652392960.

The previous prime is 18945140805359. The next prime is 18945140805361. The reversal of 18945140805360 is 6350804154981.

It is a happy number.

18945140805360 is a `hidden beast` number, since 1 + 8 + 9 + 451 + 4 + 0 + 80 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (18945140805359) and next prime (18945140805361).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 18945140805297 and 18945140805306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18945140805361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6972030 + ... + 9300509.

It is an arithmetic number, because the mean of its divisors is an integer number (172521469080).

Almost surely, 2^{18945140805360} is an apocalyptic number.

18945140805360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18945140805360 is an abundant number, since it is smaller than the sum of its proper divisors (63865164353040).

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

18945140805360 is a wasteful number, since it uses less digits than its factorization.

18945140805360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272586 (or 16272567 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 18945140805360 in words is "eighteen trillion, nine hundred forty-five billion, one hundred forty million, eight hundred five thousand, three hundred sixty".