23342613004800 has 1920 divisors, whose sum is σ = 94928324198400. Its totient is φ = 5591673077760.

The previous prime is 23342613004793. The next prime is 23342613004873. The reversal of 23342613004800 is 840031624332.

23342613004800 is a `hidden beast` number, since 2 + 3 + 3 + 42 + 6 + 130 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19180453792 + ... + 19180455008.

It is an arithmetic number, because the mean of its divisors is an integer number (49441835520).

Almost surely, 2^{23342613004800} is an apocalyptic number.

23342613004800 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 23342613004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47464162099200).

23342613004800 is an abundant number, since it is smaller than the sum of its proper divisors (71585711193600).

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

23342613004800 is a wasteful number, since it uses less digits than its factorization.

23342613004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23342613004800 in words is "twenty-three trillion, three hundred forty-two billion, six hundred thirteen million, four thousand, eight hundred".