45533416500 has 432 divisors, whose sum is σ = 169713520704. Its totient is φ = 10187424000.

The previous prime is 45533416441. The next prime is 45533416507. The reversal of 45533416500 is 561433554.

45533416500 is a `hidden beast` number, since 4 + 553 + 3 + 41 + 65 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45533416507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8362779 + ... + 8368221.

It is an arithmetic number, because the mean of its divisors is an integer number (392855372).

Almost surely, 2^45533416500 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 45533416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84856760352).

45533416500 is an abundant number, since it is smaller than the sum of its proper divisors (124180104204).

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

45533416500 is a wasteful number, since it uses less digits than its factorization.

45533416500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 45533416500 in words is "forty-five billion, five hundred thirty-three million, four hundred sixteen thousand, five hundred".