23134011264 has 512 divisors, whose sum is σ = 88997529600. Its totient is φ = 5741051904.

The previous prime is 23134011259. The next prime is 23134011289. The reversal of 23134011264 is 46211043132.

It is a happy number.

23134011264 is a `hidden beast` number, since 231 + 3 + 401 + 1 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5344269 + ... + 5348595.

It is an arithmetic number, because the mean of its divisors is an integer number (173823300).

Almost surely, 2^23134011264 is an apocalyptic number.

23134011264 is a gapful number since it is divisible by the number (24) 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 23134011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44498764800).

23134011264 is an abundant number, since it is smaller than the sum of its proper divisors (65863518336).

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

23134011264 is a wasteful number, since it uses less digits than its factorization.

23134011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23134011264 its reverse (46211043132), we get a palindrome (69345054396).

The spelling of 23134011264 in words is "twenty-three billion, one hundred thirty-four million, eleven thousand, two hundred sixty-four".