45443500200 has 384 divisors, whose sum is σ = 179217100800. Its totient is φ = 10368034560.

The previous prime is 45443500183. The next prime is 45443500213. The reversal of 45443500200 is 200534454.

45443500200 is a `hidden beast` number, since 454 + 4 + 3 + 5 + 0 + 0 + 200 = 666.

It is a super-2 number, since 2×45443500200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37156789 + ... + 37158011.

It is an arithmetic number, because the mean of its divisors is an integer number (466711200).

Almost surely, 2^45443500200 is an apocalyptic number.

45443500200 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 45443500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89608550400).

45443500200 is an abundant number, since it is smaller than the sum of its proper divisors (133773600600).

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

45443500200 is a wasteful number, since it uses less digits than its factorization.

45443500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 45443500200 in words is "forty-five billion, four hundred forty-three million, five hundred thousand, two hundred".