17974884864 has 160 divisors (see below), whose sum is σ = 49702086720. Its totient is φ = 5765824512.

The previous prime is 17974884853. The next prime is 17974884869. The reversal of 17974884864 is 46848847971.

It is a junction number, because it is equal to n+sod(n) for n = 17974884795 and 17974884804.

It is not an unprimeable number, because it can be changed into a prime (17974884869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20356167 + ... + 20357049.

It is an arithmetic number, because the mean of its divisors is an integer number (310638042).

Almost surely, 2^17974884864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17974884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851043360).

17974884864 is an abundant number, since it is smaller than the sum of its proper divisors (31727201856).

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

17974884864 is an equidigital number, since it uses as much as digits as its factorization.

17974884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 66.

The spelling of 17974884864 in words is "seventeen billion, nine hundred seventy-four million, eight hundred eighty-four thousand, eight hundred sixty-four".