23460688419840 has 2112 divisors, whose sum is σ = 100462971248640. Its totient is φ = 5136847994880.

The previous prime is 23460688419827. The next prime is 23460688419841. The reversal of 23460688419840 is 4891488606432.

23460688419840 is a `hidden beast` number, since 2 + 3 + 4 + 60 + 6 + 88 + 419 + 84 + 0 = 666.

It is a super-2 number, since 2×23460688419840² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23460688419841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30508046976 + ... + 30508047744.

It is an arithmetic number, because the mean of its divisors is an integer number (47567694720).

Almost surely, 2^{23460688419840} is an apocalyptic number.

23460688419840 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 23460688419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50231485624320).

23460688419840 is an abundant number, since it is smaller than the sum of its proper divisors (77002282828800).

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

23460688419840 is a wasteful number, since it uses less digits than its factorization.

23460688419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 23460688419840 in words is "twenty-three trillion, four hundred sixty billion, six hundred eighty-eight million, four hundred nineteen thousand, eight hundred forty".