45218201600 has 408 divisors, whose sum is σ = 132427846992. Its totient is φ = 15099494400.

The previous prime is 45218201551. The next prime is 45218201719. The reversal of 45218201600 is 610281254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234291104 + ... + 234291296.

Almost surely, 2^45218201600 is an apocalyptic number.

45218201600 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 45218201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66213923496).

45218201600 is an abundant number, since it is smaller than the sum of its proper divisors (87209645392).

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

45218201600 is a wasteful number, since it uses less digits than its factorization.

45218201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 45218201600 its reverse (610281254), we get a palindrome (45828482854).

The spelling of 45218201600 in words is "forty-five billion, two hundred eighteen million, two hundred one thousand, six hundred".