23146794316800 has 4752 divisors, whose sum is σ = 113249167589376. Its totient is φ = 4576518144000.

The previous prime is 23146794316787. The next prime is 23146794316843. The reversal of 23146794316800 is 861349764132.

23146794316800 is a `hidden beast` number, since 2 + 3 + 1 + 467 + 94 + 3 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 121187404705 + ... + 121187404895.

Almost surely, 2^{23146794316800} is an apocalyptic number.

23146794316800 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 23146794316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624583794688).

23146794316800 is an abundant number, since it is smaller than the sum of its proper divisors (90102373272576).

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

23146794316800 is a wasteful number, since it uses less digits than its factorization.

23146794316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23146794316800 in words is "twenty-three trillion, one hundred forty-six billion, seven hundred ninety-four million, three hundred sixteen thousand, eight hundred".