18217483960320 has 2176 divisors, whose sum is σ = 73156492224000. Its totient is φ = 4280706662400.

The previous prime is 18217483960261. The next prime is 18217483960373. The reversal of 18217483960320 is 2306938471281.

It is a happy number.

18217483960320 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 7 + 4 + 8 + 3 + 9 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180371128270 + ... + 180371128370.

It is an arithmetic number, because the mean of its divisors is an integer number (33619711500).

Almost surely, 2^{18217483960320} is an apocalyptic number.

18217483960320 is a gapful number since it is divisible by the number (10) 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 18217483960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578246112000).

18217483960320 is an abundant number, since it is smaller than the sum of its proper divisors (54939008263680).

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

18217483960320 is a wasteful number, since it uses less digits than its factorization.

18217483960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 18217483960320 in words is "eighteen trillion, two hundred seventeen billion, four hundred eighty-three million, nine hundred sixty thousand, three hundred twenty".