23461648704 has 560 divisors, whose sum is σ = 80237868480. Its totient is φ = 6718464000.

The previous prime is 23461648673. The next prime is 23461648729. The reversal of 23461648704 is 40784616432.

23461648704 is a `hidden beast` number, since 23 + 4 + 616 + 4 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23461648704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93472579 + ... + 93472829.

It is an arithmetic number, because the mean of its divisors is an integer number (143281908).

Almost surely, 2^23461648704 is an apocalyptic number.

23461648704 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 23461648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40118934240).

23461648704 is an abundant number, since it is smaller than the sum of its proper divisors (56776219776).

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

23461648704 is a wasteful number, since it uses less digits than its factorization.

23461648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23461648704 in words is "twenty-three billion, four hundred sixty-one million, six hundred forty-eight thousand, seven hundred four".