913233556800 has 252 divisors, whose sum is σ = 3282322490460. Its totient is φ = 240792330240.

The previous prime is 913233556793. The next prime is 913233556801. The reversal of 913233556800 is 8655332319.

It is a happy number.

913233556800 is a `hidden beast` number, since 9 + 13 + 2 + 3 + 3 + 556 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 227689300224 + 685544256576 = 477168^2 + 827976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (913233556801) 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 35 ways as a sum of consecutive naturals, for example, 925314 + ... + 1637886.

Almost surely, 2^913233556800 is an apocalyptic number.

913233556800 is a gapful number since it is divisible by the number (90) 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 913233556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641161245230).

913233556800 is an abundant number, since it is smaller than the sum of its proper divisors (2369088933660).

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

913233556800 is a wasteful number, since it uses less digits than its factorization.

913233556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712690 (or 712672 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 913233556800 in words is "nine hundred thirteen billion, two hundred thirty-three million, five hundred fifty-six thousand, eight hundred".