17998922193408 has 2240 divisors, whose sum is σ = 65731545411840. Its totient is φ = 4864335151104.

The previous prime is 17998922193361. The next prime is 17998922193443. The reversal of 17998922193408 is 80439122989971.

It is a happy number.

17998922193408 is a `hidden beast` number, since 1 + 7 + 9 + 9 + 8 + 9 + 22 + 193 + 408 = 666.

It is a super-2 number, since 2×17998922193408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100552637863 + ... + 100552638041.

It is an arithmetic number, because the mean of its divisors is an integer number (29344439916).

Almost surely, 2^{17998922193408} is an apocalyptic number.

17998922193408 is a gapful number since it is divisible by the number (18) 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 17998922193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32865772705920).

17998922193408 is an abundant number, since it is smaller than the sum of its proper divisors (47732623218432).

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

17998922193408 is a wasteful number, since it uses less digits than its factorization.

17998922193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 17998922193408 in words is "seventeen trillion, nine hundred ninety-eight billion, nine hundred twenty-two million, one hundred ninety-three thousand, four hundred eight".