23133600000 has 1296 divisors, whose sum is σ = 104620553856. Its totient is φ = 4976640000.

The previous prime is 23133599989. The next prime is 23133600001. The reversal of 23133600000 is 633132.

It is a happy number.

23133600000 is a `hidden beast` number, since 2 + 31 + 33 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133600001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1360799992 + ... + 1360800008.

It is an arithmetic number, because the mean of its divisors is an integer number (80725736).

Almost surely, 2^23133600000 is an apocalyptic number.

23133600000 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 23133600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52310276928).

23133600000 is an abundant number, since it is smaller than the sum of its proper divisors (81486953856).

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

23133600000 is an frugal number, since it uses more digits than its factorization.

23133600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The spelling of 23133600000 in words is "twenty-three billion, one hundred thirty-three million, six hundred thousand".