45810100224 has 576 divisors, whose sum is σ = 161902540800. Its totient is φ = 12194316288.

The previous prime is 45810100223. The next prime is 45810100253. The reversal of 45810100224 is 42200101854.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (45810100223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127604557 + ... + 127604915.

It is an arithmetic number, because the mean of its divisors is an integer number (281080800).

Almost surely, 2^45810100224 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 45810100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80951270400).

45810100224 is an abundant number, since it is smaller than the sum of its proper divisors (116092440576).

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

45810100224 is a wasteful number, since it uses less digits than its factorization.

45810100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 45810100224 in words is "forty-five billion, eight hundred ten million, one hundred thousand, two hundred twenty-four".