18402951168 has 450 divisors, whose sum is σ = 64182295716. Its totient is φ = 5239406592.

The previous prime is 18402951121. The next prime is 18402951173. The reversal of 18402951168 is 86115920481.

It is a happy number.

18402951168 is a `hidden beast` number, since 18 + 40 + 29 + 511 + 68 = 666.

It is a super-2 number, since 2×18402951168² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65027955 + ... + 65028237.

Almost surely, 2^18402951168 is an apocalyptic number.

18402951168 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 18402951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091147858).

18402951168 is an abundant number, since it is smaller than the sum of its proper divisors (45779344548).

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

18402951168 is an frugal number, since it uses more digits than its factorization.

18402951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 18402951168 in words is "eighteen billion, four hundred two million, nine hundred fifty-one thousand, one hundred sixty-eight".