23468466960 has 200 divisors, whose sum is σ = 82427324760. Its totient is φ = 6187788288.

The previous prime is 23468466941. The next prime is 23468466991. The reversal of 23468466960 is 6966486432.

23468466960 is a `hidden beast` number, since 2 + 34 + 68 + 466 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 23222102544 = 15696^2 + 152388^2 .

It is a super-2 number, since 2×23468466960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23468466897 and 23468466906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556374 + ... + 597066.

Almost surely, 2^23468466960 is an apocalyptic number.

23468466960 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 23468466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41213662380).

23468466960 is an abundant number, since it is smaller than the sum of its proper divisors (58958857800).

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

23468466960 is a wasteful number, since it uses less digits than its factorization.

23468466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40807 (or 40792 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 23468466960 in words is "twenty-three billion, four hundred sixty-eight million, four hundred sixty-six thousand, nine hundred sixty".