17994134016 has 320 divisors, whose sum is σ = 55520256000. Its totient is φ = 5748019200.

The previous prime is 17994134003. The next prime is 17994134021. The reversal of 17994134016 is 61043149971.

It is a happy 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, 85280151 + ... + 85280361.

It is an arithmetic number, because the mean of its divisors is an integer number (173500800).

Almost surely, 2^17994134016 is an apocalyptic number.

17994134016 is a gapful number since it is divisible by the number (16) 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 17994134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760128000).

17994134016 is an abundant number, since it is smaller than the sum of its proper divisors (37526121984).

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

17994134016 is a wasteful number, since it uses less digits than its factorization.

17994134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 17994134016 in words is "seventeen billion, nine hundred ninety-four million, one hundred thirty-four thousand, sixteen".