45633067200 has 1008 divisors, whose sum is σ = 200858810880. Its totient is φ = 9976919040.

The previous prime is 45633067187. The next prime is 45633067267. The reversal of 45633067200 is 276033654.

45633067200 is a `hidden beast` number, since 4 + 563 + 30 + 67 + 2 + 0 + 0 = 666.

45633067200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1984046389 + ... + 1984046411.

Almost surely, 2^45633067200 is an apocalyptic number.

45633067200 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 45633067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100429405440).

45633067200 is an abundant number, since it is smaller than the sum of its proper divisors (155225743680).

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

45633067200 is an frugal number, since it uses more digits than its factorization.

45633067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 45633067200 in words is "forty-five billion, six hundred thirty-three million, sixty-seven thousand, two hundred".