16233136128 has 360 divisors, whose sum is σ = 53288429040. Its totient is φ = 4883742720.

The previous prime is 16233136091. The next prime is 16233136169. The reversal of 16233136128 is 82163133261.

16233136128 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 31 + 3 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 16233136092 and 16233136101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116785083 + ... + 116785221.

It is an arithmetic number, because the mean of its divisors is an integer number (148023414).

Almost surely, 2^16233136128 is an apocalyptic number.

16233136128 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 16233136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26644214520).

16233136128 is an abundant number, since it is smaller than the sum of its proper divisors (37055292912).

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

16233136128 is an frugal number, since it uses more digits than its factorization.

16233136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 16233136128 its reverse (82163133261), we get a palindrome (98396269389).

The spelling of 16233136128 in words is "sixteen billion, two hundred thirty-three million, one hundred thirty-six thousand, one hundred twenty-eight".