45608223981320 has 256 divisors, whose sum is σ = 138920192570880. Its totient is φ = 13122045066240.

The previous prime is 45608223981317. The next prime is 45608223981323. The reversal of 45608223981320 is 2318932280654.

It is an interprime number because it is at equal distance from previous prime (45608223981317) and next prime (45608223981323).

It is a super-2 number, since 2×45608223981320² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45608223981323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137954 + ... + 9551726.

It is an arithmetic number, because the mean of its divisors is an integer number (542657002230).

Almost surely, 2^{45608223981320} is an apocalyptic number.

45608223981320 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 45608223981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69460096285440).

45608223981320 is an abundant number, since it is smaller than the sum of its proper divisors (93311968589560).

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

45608223981320 is a wasteful number, since it uses less digits than its factorization.

45608223981320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413837 (or 9413811 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 45608223981320 in words is "forty-five trillion, six hundred eight billion, two hundred twenty-three million, nine hundred eighty-one thousand, three hundred twenty".