45641782200 has 384 divisors, whose sum is σ = 166489344000. Its totient is φ = 10126233600.

The previous prime is 45641782183. The next prime is 45641782217. The reversal of 45641782200 is 228714654.

It is an interprime number because it is at equal distance from previous prime (45641782183) and next prime (45641782217).

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, 41155246 + ... + 41156354.

It is an arithmetic number, because the mean of its divisors is an integer number (433566000).

Almost surely, 2^45641782200 is an apocalyptic number.

45641782200 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 45641782200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83244672000).

45641782200 is an abundant number, since it is smaller than the sum of its proper divisors (120847561800).

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

45641782200 is a wasteful number, since it uses less digits than its factorization.

45641782200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 45641782200 in words is "forty-five billion, six hundred forty-one million, seven hundred eighty-two thousand, two hundred".