45216283800 has 384 divisors, whose sum is σ = 158518425600. Its totient is φ = 10601472000.

The previous prime is 45216283799. The next prime is 45216283823. The reversal of 45216283800 is 838261254.

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 95 ways as a sum of consecutive naturals, for example, 9167335 + ... + 9172265.

It is an arithmetic number, because the mean of its divisors is an integer number (412808400).

Almost surely, 2^45216283800 is an apocalyptic number.

45216283800 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 45216283800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79259212800).

45216283800 is an abundant number, since it is smaller than the sum of its proper divisors (113302141800).

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

45216283800 is a wasteful number, since it uses less digits than its factorization.

45216283800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 45216283800 in words is "forty-five billion, two hundred sixteen million, two hundred eighty-three thousand, eight hundred".