18120395901216 has 288 divisors, whose sum is σ = 58601617482240. Its totient is φ = 4871474356224.

The previous prime is 18120395901193. The next prime is 18120395901319. The reversal of 18120395901216 is 61210959302181.

It is a super-2 number, since 2×18120395901216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340077265 + ... + 340130543.

It is an arithmetic number, because the mean of its divisors is an integer number (203477838480).

Almost surely, 2^{18120395901216} is an apocalyptic number.

18120395901216 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 18120395901216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300808741120).

18120395901216 is an abundant number, since it is smaller than the sum of its proper divisors (40481221581024).

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

18120395901216 is a wasteful number, since it uses less digits than its factorization.

18120395901216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57576 (or 57561 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 18120395901216 in words is "eighteen trillion, one hundred twenty billion, three hundred ninety-five million, nine hundred one thousand, two hundred sixteen".