23461199808480 has 1152 divisors, whose sum is σ = 100134834508800. Its totient is φ = 5067441782784.

The previous prime is 23461199808421. The next prime is 23461199808491. The reversal of 23461199808480 is 8480899116432.

23461199808480 is a `hidden beast` number, since 2 + 3 + 4 + 61 + 1 + 9 + 98 + 0 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2114949814 + ... + 2114960906.

It is an arithmetic number, because the mean of its divisors is an integer number (86922599400).

Almost surely, 2^{23461199808480} is an apocalyptic number.

23461199808480 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 23461199808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50067417254400).

23461199808480 is an abundant number, since it is smaller than the sum of its proper divisors (76673634700320).

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

23461199808480 is a wasteful number, since it uses less digits than its factorization.

23461199808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 23461199808480 in words is "twenty-three trillion, four hundred sixty-one billion, one hundred ninety-nine million, eight hundred eight thousand, four hundred eighty".