45231436800 has 792 divisors, whose sum is σ = 183493276512. Its totient is φ = 10948608000.

The previous prime is 45231436781. The next prime is 45231436813. The reversal of 45231436800 is 863413254.

45231436800 is a `hidden beast` number, since 452 + 3 + 143 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68428470 + ... + 68429130.

Almost surely, 2^45231436800 is an apocalyptic number.

45231436800 is a gapful number since it is divisible by the number (40) 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 45231436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91746638256).

45231436800 is an abundant number, since it is smaller than the sum of its proper divisors (138261839712).

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

45231436800 is a wasteful number, since it uses less digits than its factorization.

45231436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45231436800 in words is "forty-five billion, two hundred thirty-one million, four hundred thirty-six thousand, eight hundred".