16218672288 has 288 divisors, whose sum is σ = 53560713024. Its totient is φ = 4259340288.

The previous prime is 16218672263. The next prime is 16218672317. The reversal of 16218672288 is 88227681261.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16218672288.

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, 20607831 + ... + 20608617.

It is an arithmetic number, because the mean of its divisors is an integer number (185974698).

Almost surely, 2^16218672288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16218672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26780356512).

16218672288 is an abundant number, since it is smaller than the sum of its proper divisors (37342040736).

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

16218672288 is a wasteful number, since it uses less digits than its factorization.

16218672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1149 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 16218672288 in words is "sixteen billion, two hundred eighteen million, six hundred seventy-two thousand, two hundred eighty-eight".