18951303168 has 234 divisors, whose sum is σ = 62793451032. Its totient is φ = 5394677760.

The previous prime is 18951303149. The next prime is 18951303179. The reversal of 18951303168 is 86130315981.

It is a happy number.

18951303168 is a `hidden beast` number, since 189 + 5 + 1 + 303 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69930873 + ... + 69931143.

Almost surely, 2^18951303168 is an apocalyptic number.

18951303168 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 18951303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31396725516).

18951303168 is an abundant number, since it is smaller than the sum of its proper divisors (43842147864).

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

18951303168 is an frugal number, since it uses more digits than its factorization.

18951303168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18951303168 in words is "eighteen billion, nine hundred fifty-one million, three hundred three thousand, one hundred sixty-eight".