18774301937664 has 1248 divisors, whose sum is σ = 64364369502720. Its totient is φ = 4822929506304.

The previous prime is 18774301937663. The next prime is 18774301937669. The reversal of 18774301937664 is 46673910347781.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 18774301937595 and 18774301937604.

It is not an unprimeable number, because it can be changed into a prime (18774301937663) 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, 59981795172 + ... + 59981795484.

Almost surely, 2^{18774301937664} is an apocalyptic number.

18774301937664 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 18774301937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32182184751360).

18774301937664 is an abundant number, since it is smaller than the sum of its proper divisors (45590067565056).

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

18774301937664 is a wasteful number, since it uses less digits than its factorization.

18774301937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 18774301937664 in words is "eighteen trillion, seven hundred seventy-four billion, three hundred one million, nine hundred thirty-seven thousand, six hundred sixty-four".