45216832500 has 900 divisors, whose sum is σ = 178366604416. Its totient is φ = 10001880000.

The previous prime is 45216832471. The next prime is 45216832517. The reversal of 45216832500 is 523861254.

45216832500 is a `hidden beast` number, since 4 + 521 + 6 + 83 + 2 + 50 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1458607485 + ... + 1458607515.

Almost surely, 2^45216832500 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 45216832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89183302208).

45216832500 is an abundant number, since it is smaller than the sum of its proper divisors (133149771916).

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

45216832500 is an frugal number, since it uses more digits than its factorization.

45216832500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45216832500 in words is "forty-five billion, two hundred sixteen million, eight hundred thirty-two thousand, five hundred".