23134433504000 has 1152 divisors, whose sum is σ = 73402237708800. Its totient is φ = 7218118656000.

The previous prime is 23134433503943. The next prime is 23134433504041. The reversal of 23134433504000 is 40533443132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10416222890 + ... + 10416225110.

Almost surely, 2^{23134433504000} is an apocalyptic number.

23134433504000 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 23134433504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36701118854400).

23134433504000 is an abundant number, since it is smaller than the sum of its proper divisors (50267804204800).

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

23134433504000 is an equidigital number, since it uses as much as digits as its factorization.

23134433504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 23134433504000 its reverse (40533443132), we get a palindrome (23174966947132).

The spelling of 23134433504000 in words is "twenty-three trillion, one hundred thirty-four billion, four hundred thirty-three million, five hundred four thousand".