23071954464 has 240 divisors, whose sum is σ = 77373876888. Its totient is φ = 6681305088.

The previous prime is 23071954453. The next prime is 23071954489. The reversal of 23071954464 is 46445917032.

23071954464 is a `hidden beast` number, since 2 + 30 + 7 + 19 + 544 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22352642064 + 719312400 = 149508^2 + 26820^2 .

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, 552694 + ... + 592970.

Almost surely, 2^23071954464 is an apocalyptic number.

23071954464 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 23071954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38686938444).

23071954464 is an abundant number, since it is smaller than the sum of its proper divisors (54301922424).

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

23071954464 is a wasteful number, since it uses less digits than its factorization.

23071954464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40329 (or 40312 counting only the distinct ones).

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

The spelling of 23071954464 in words is "twenty-three billion, seventy-one million, nine hundred fifty-four thousand, four hundred sixty-four".