45701207200 has 144 divisors (see below), whose sum is σ = 122918070240. Its totient is φ = 16453760000.

The previous prime is 45701207191. The next prime is 45701207203. The reversal of 45701207200 is 270210754.

It is not an unprimeable number, because it can be changed into a prime (45701207203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863091 + ... + 914509.

It is an arithmetic number, because the mean of its divisors is an integer number (853597710).

Almost surely, 2^45701207200 is an apocalyptic number.

45701207200 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 45701207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61459035120).

45701207200 is an abundant number, since it is smaller than the sum of its proper divisors (77216863040).

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

45701207200 is a wasteful number, since it uses less digits than its factorization.

45701207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51551 (or 51538 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

Adding to 45701207200 its reverse (270210754), we get a palindrome (45971417954).

The spelling of 45701207200 in words is "forty-five billion, seven hundred one million, two hundred seven thousand, two hundred".