18946032041664 has 1176 divisors, whose sum is σ = 70873172023248. Its totient is φ = 4978516193280.

The previous prime is 18946032041647. The next prime is 18946032041683. The reversal of 18946032041664 is 46614023064981.

18946032041664 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 603 + 20 + 4 + 1 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18946032041664.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9421198419 + ... + 9421200429.

Almost surely, 2^{18946032041664} is an apocalyptic number.

18946032041664 is a gapful number since it is divisible by the number (14) 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 18946032041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35436586011624).

18946032041664 is an abundant number, since it is smaller than the sum of its proper divisors (51927139981584).

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

18946032041664 is a wasteful number, since it uses less digits than its factorization.

18946032041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 18946032041664 in words is "eighteen trillion, nine hundred forty-six billion, thirty-two million, forty-one thousand, six hundred sixty-four".