45953800200 has 1536 divisors, whose sum is σ = 211700736000. Its totient is φ = 8883302400.

The previous prime is 45953800147. The next prime is 45953800213. The reversal of 45953800200 is 200835954.

It is a super-2 number, since 2×45953800200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 446153349 + ... + 446153451.

It is an arithmetic number, because the mean of its divisors is an integer number (137826000).

Almost surely, 2^45953800200 is an apocalyptic number.

45953800200 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 45953800200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850368000).

45953800200 is an abundant number, since it is smaller than the sum of its proper divisors (165746935800).

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

45953800200 is a wasteful number, since it uses less digits than its factorization.

45953800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45953800200 in words is "forty-five billion, nine hundred fifty-three million, eight hundred thousand, two hundred".