45333884700 has 432 divisors, whose sum is σ = 162765832320. Its totient is φ = 10454999040.

The previous prime is 45333884669. The next prime is 45333884711. The reversal of 45333884700 is 748833354.

45333884700 is a `hidden beast` number, since 4 + 533 + 38 + 84 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×45333884700² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 63050941 + ... + 63051659.

It is an arithmetic number, because the mean of its divisors is an integer number (376772760).

Almost surely, 2^45333884700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45333884700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81382916160).

45333884700 is an abundant number, since it is smaller than the sum of its proper divisors (117431947620).

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

45333884700 is a wasteful number, since it uses less digits than its factorization.

45333884700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45333884700 in words is "forty-five billion, three hundred thirty-three million, eight hundred eighty-four thousand, seven hundred".