23461473409920 has 1536 divisors, whose sum is σ = 103483399219200. Its totient is φ = 4763958312960.

The previous prime is 23461473409859. The next prime is 23461473409987. The reversal of 23461473409920 is 2990437416432.

23461473409920 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 147 + 3 + 409 + 92 + 0 = 666.

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, 5031409509 + ... + 5031414171.

It is an arithmetic number, because the mean of its divisors is an integer number (67372004700).

Almost surely, 2^{23461473409920} is an apocalyptic number.

23461473409920 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 23461473409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51741699609600).

23461473409920 is an abundant number, since it is smaller than the sum of its proper divisors (80021925809280).

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

23461473409920 is a wasteful number, since it uses less digits than its factorization.

23461473409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 23461473409920 in words is "twenty-three trillion, four hundred sixty-one billion, four hundred seventy-three million, four hundred nine thousand, nine hundred twenty".