18934046664960 has 1152 divisors, whose sum is σ = 77149468569600. Its totient is φ = 3852635996160.

The previous prime is 18934046664931. The next prime is 18934046664983. The reversal of 18934046664960 is 6946664043981.

It is a super-2 number, since 2×18934046664960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18934046664891 and 18934046664900.

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, 7041295296 + ... + 7041297984.

It is an arithmetic number, because the mean of its divisors is an integer number (66970024800).

Almost surely, 2^{18934046664960} is an apocalyptic number.

18934046664960 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 18934046664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38574734284800).

18934046664960 is an abundant number, since it is smaller than the sum of its proper divisors (58215421904640).

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

18934046664960 is a wasteful number, since it uses less digits than its factorization.

18934046664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 18934046664960 in words is "eighteen trillion, nine hundred thirty-four billion, forty-six million, six hundred sixty-four thousand, nine hundred sixty".