23034051600 has 240 divisors, whose sum is σ = 84848950272. Its totient is φ = 5232314880.

The previous prime is 23034051581. The next prime is 23034051631. The reversal of 23034051600 is 615043032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×23034051600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1360789 + ... + 1377611.

Almost surely, 2^23034051600 is an apocalyptic number.

23034051600 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 23034051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42424475136).

23034051600 is an abundant number, since it is smaller than the sum of its proper divisors (61814898672).

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

23034051600 is a wasteful number, since it uses less digits than its factorization.

23034051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17014 (or 17003 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 23034051600 its reverse (615043032), we get a palindrome (23649094632).

The spelling of 23034051600 in words is "twenty-three billion, thirty-four million, fifty-one thousand, six hundred".