23245621056000 has 1920 divisors, whose sum is σ = 100743915976704. Its totient is φ = 5232339763200.

The previous prime is 23245621055999. The next prime is 23245621056043. The reversal of 23245621056000 is 65012654232.

23245621056000 is a `hidden beast` number, since 2 + 3 + 2 + 45 + 6 + 2 + 1 + 0 + 5 + 600 + 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7293886407 + ... + 7293889593.

Almost surely, 2^{23245621056000} is an apocalyptic number.

23245621056000 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 23245621056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371957988352).

23245621056000 is an abundant number, since it is smaller than the sum of its proper divisors (77498294920704).

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

23245621056000 is an frugal number, since it uses more digits than its factorization.

23245621056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23245621056000 in words is "twenty-three trillion, two hundred forty-five billion, six hundred twenty-one million, fifty-six thousand".