17945013680 has 160 divisors (see below), whose sum is σ = 48445024320. Its totient is φ = 6109429760.

The previous prime is 17945013661. The next prime is 17945013683. The reversal of 17945013680 is 8631054971.

It is a Cunningham number, because it is equal to 133959²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (17945013683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944076 + ... + 2950164.

It is an arithmetic number, because the mean of its divisors is an integer number (302781402).

Almost surely, 2^17945013680 is an apocalyptic number.

17945013680 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 17945013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222512160).

17945013680 is an abundant number, since it is smaller than the sum of its proper divisors (30500010640).

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

17945013680 is a wasteful number, since it uses less digits than its factorization.

17945013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 17945013680 in words is "seventeen billion, nine hundred forty-five million, thirteen thousand, six hundred eighty".