17944180453968 has 160 divisors (see below), whose sum is σ = 50344940574720. Its totient is φ = 5486456954880.

The previous prime is 17944180453943. The next prime is 17944180453973. The reversal of 17944180453968 is 86935408144971.

It is a super-3 number, since 3×17944180453968³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3771921 + ... + 7079247.

It is an arithmetic number, because the mean of its divisors is an integer number (314655878592).

Almost surely, 2^{17944180453968} 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 17944180453968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25172470287360).

17944180453968 is an abundant number, since it is smaller than the sum of its proper divisors (32400760120752).

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

17944180453968 is a wasteful number, since it uses less digits than its factorization.

17944180453968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307525 (or 3307519 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 17944180453968 in words is "seventeen trillion, nine hundred forty-four billion, one hundred eighty million, four hundred fifty-three thousand, nine hundred sixty-eight".