45220291200 has 480 divisors, whose sum is σ = 190719444960. Its totient is φ = 10335651840.

The previous prime is 45220291169. The next prime is 45220291243. The reversal of 45220291200 is 219202254.

It is a happy number.

45220291200 is a `hidden beast` number, since 452 + 2 + 0 + 2 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1801939 + ... + 1826861.

It is an arithmetic number, because the mean of its divisors is an integer number (397332177).

Almost surely, 2^45220291200 is an apocalyptic number.

45220291200 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 45220291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95359722480).

45220291200 is an abundant number, since it is smaller than the sum of its proper divisors (145499153760).

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

45220291200 is a wasteful number, since it uses less digits than its factorization.

45220291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24966 (or 24940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 45220291200 its reverse (219202254), we get a palindrome (45439493454).

The spelling of 45220291200 in words is "forty-five billion, two hundred twenty million, two hundred ninety-one thousand, two hundred".