17954202912 has 96 divisors (see below), whose sum is σ = 49973112000. Its totient is φ = 5628284928.

The previous prime is 17954202901. The next prime is 17954202919. The reversal of 17954202912 is 21920245971.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (17954202919) 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, 213964 + ... + 285812.

It is an arithmetic number, because the mean of its divisors is an integer number (520553250).

Almost surely, 2^17954202912 is an apocalyptic number.

17954202912 is a gapful number since it is divisible by the number (12) 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 17954202912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986556000).

17954202912 is an abundant number, since it is smaller than the sum of its proper divisors (32018909088).

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

17954202912 is a wasteful number, since it uses less digits than its factorization.

17954202912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72018 (or 72010 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 17954202912 in words is "seventeen billion, nine hundred fifty-four million, two hundred two thousand, nine hundred twelve".