23014230624 has 1296 divisors, whose sum is σ = 96308896320. Its totient is φ = 5329981440.

The previous prime is 23014230599. The next prime is 23014230661. The reversal of 23014230624 is 42603241032.

23014230624 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 4 + 2 + 30 + 624 = 666.

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

It is a super-2 number, since 2×23014230624² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 1211275287 + ... + 1211275305.

It is an arithmetic number, because the mean of its divisors is an integer number (74312420).

Almost surely, 2^23014230624 is an apocalyptic number.

23014230624 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 23014230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48154448160).

23014230624 is an abundant number, since it is smaller than the sum of its proper divisors (73294665696).

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

23014230624 is a wasteful number, since it uses less digits than its factorization.

23014230624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23014230624 its reverse (42603241032), we get a palindrome (65617471656).

The spelling of 23014230624 in words is "twenty-three billion, fourteen million, two hundred thirty thousand, six hundred twenty-four".