23154744960 has 192 divisors, whose sum is σ = 80071173000. Its totient is φ = 6165725184.

The previous prime is 23154744941. The next prime is 23154744979. The reversal of 23154744960 is 6944745132.

23154744960 is a `hidden beast` number, since 2 + 3 + 1 + 547 + 4 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (23154744941) and next prime (23154744979).

It can be written as a sum of positive squares in 4 ways, for example, as 19517207616 + 3637537344 = 139704^2 + 60312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×23154744960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4657356 + ... + 4662324.

Almost surely, 2^23154744960 is an apocalyptic number.

23154744960 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 23154744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40035586500).

23154744960 is an abundant number, since it is smaller than the sum of its proper divisors (56916428040).

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

23154744960 is a wasteful number, since it uses less digits than its factorization.

23154744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23154744960 in words is "twenty-three billion, one hundred fifty-four million, seven hundred forty-four thousand, nine hundred sixty".