45355100224 has 112 divisors (see below), whose sum is σ = 110965292928. Its totient is φ = 17949155328.

The previous prime is 45355100201. The next prime is 45355100227. The reversal of 45355100224 is 42200155354.

45355100224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (45355100227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347467 + ... + 459829.

It is an arithmetic number, because the mean of its divisors is an integer number (990761544).

Almost surely, 2^45355100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45355100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55482646464).

45355100224 is an abundant number, since it is smaller than the sum of its proper divisors (65610192704).

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

45355100224 is a wasteful number, since it uses less digits than its factorization.

45355100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112452 (or 112442 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 45355100224 its reverse (42200155354), we get a palindrome (87555255578).

The spelling of 45355100224 in words is "forty-five billion, three hundred fifty-five million, one hundred thousand, two hundred twenty-four".