22133966400 has 1512 divisors, whose sum is σ = 104556641280. Its totient is φ = 4389396480.

The previous prime is 22133966389. The next prime is 22133966423. The reversal of 22133966400 is 466933122.

22133966400 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 9 + 6 + 640 + 0 = 666.

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

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 215 ways as a sum of consecutive naturals, for example, 174283137 + ... + 174283263.

Almost surely, 2^22133966400 is an apocalyptic number.

22133966400 is a gapful number since it is divisible by the number (20) 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 22133966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52278320640).

22133966400 is an abundant number, since it is smaller than the sum of its proper divisors (82422674880).

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

22133966400 is a wasteful number, since it uses less digits than its factorization.

22133966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 22133966400 in words is "twenty-two billion, one hundred thirty-three million, nine hundred sixty-six thousand, four hundred".