18993072292224 has 256 divisors, whose sum is σ = 52261224744960. Its totient is φ = 6107362099200.

The previous prime is 18993072292223. The next prime is 18993072292273. The reversal of 18993072292224 is 42229227039981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18993072292223) 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, 1879938757 + ... + 1879948859.

It is an arithmetic number, because the mean of its divisors is an integer number (204145409160).

Almost surely, 2^{18993072292224} 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 18993072292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26130612372480).

18993072292224 is an abundant number, since it is smaller than the sum of its proper divisors (33268152452736).

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

18993072292224 is a wasteful number, since it uses less digits than its factorization.

18993072292224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 18993072292224 in words is "eighteen trillion, nine hundred ninety-three billion, seventy-two million, two hundred ninety-two thousand, two hundred twenty-four".