18945706938320 has 80 divisors (see below), whose sum is σ = 45471526302720. Its totient is φ = 7333526937600.

The previous prime is 18945706938271. The next prime is 18945706938349. The reversal of 18945706938320 is 2383960754981.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18945706938320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67492016 + ... + 67772144.

It is an arithmetic number, because the mean of its divisors is an integer number (568394078784).

It is a 1-persistent number, because it is pandigital, but 2⋅18945706938320 = 37891413876640 is not.

Almost surely, 2^{18945706938320} is an apocalyptic number.

18945706938320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18945706938320 is an abundant number, since it is smaller than the sum of its proper divisors (26525819364400).

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

18945706938320 is a wasteful number, since it uses less digits than its factorization.

18945706938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307444 (or 307438 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 18945706938320 in words is "eighteen trillion, nine hundred forty-five billion, seven hundred six million, nine hundred thirty-eight thousand, three hundred twenty".