23468415897600 has 1092 divisors, whose sum is σ = 92389398598476. Its totient is φ = 5889793720320.

The previous prime is 23468415897599. The next prime is 23468415897601. The reversal of 23468415897600 is 679851486432.

23468415897600 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 8 + 4 + 15 + 8 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (23468415897599) and next prime (23468415897601).

It can be written as a sum of positive squares in 6 ways, for example, as 41576841216 + 23426839056384 = 203904^2 + 4840128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23468415897601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1269033954 + ... + 1269052446.

It is a 2-persistent number, because it is pandigital, and so is 2⋅23468415897600 = 46936831795200, but 3⋅23468415897600 = 70405247692800 is not.

Almost surely, 2^{23468415897600} is an apocalyptic number.

23468415897600 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 23468415897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46194699299238).

23468415897600 is an abundant number, since it is smaller than the sum of its proper divisors (68920982700876).

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

23468415897600 is an equidigital number, since it uses as much as digits as its factorization.

23468415897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 23468415897600 in words is "twenty-three trillion, four hundred sixty-eight billion, four hundred fifteen million, eight hundred ninety-seven thousand, six hundred".