45642211200 has 288 divisors, whose sum is σ = 165628405800. Its totient is φ = 11964518400.

The previous prime is 45642211187. The next prime is 45642211267. The reversal of 45642211200 is 211224654.

45642211200 is a `hidden beast` number, since 4 + 5 + 642 + 2 + 1 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45642211200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1685770 + ... + 1712630.

Almost surely, 2^45642211200 is an apocalyptic number.

45642211200 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 45642211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814202900).

45642211200 is an abundant number, since it is smaller than the sum of its proper divisors (119986194600).

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

45642211200 is a wasteful number, since it uses less digits than its factorization.

45642211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26950 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45642211200 its reverse (211224654), we get a palindrome (45853435854).

The spelling of 45642211200 in words is "forty-five billion, six hundred forty-two million, two hundred eleven thousand, two hundred".