45712362200 has 192 divisors, whose sum is σ = 115947936000. Its totient is φ = 16703331840.

The previous prime is 45712362151. The next prime is 45712362203. The reversal of 45712362200 is 226321754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45712362203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11880677 + ... + 11884523.

It is an arithmetic number, because the mean of its divisors is an integer number (603895500).

Almost surely, 2^45712362200 is an apocalyptic number.

45712362200 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 45712362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57973968000).

45712362200 is an abundant number, since it is smaller than the sum of its proper divisors (70235573800).

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

45712362200 is a wasteful number, since it uses less digits than its factorization.

45712362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 45712362200 its reverse (226321754), we get a palindrome (45938683954).

The spelling of 45712362200 in words is "forty-five billion, seven hundred twelve million, three hundred sixty-two thousand, two hundred".