45300003320 has 256 divisors, whose sum is σ = 124388006400. Its totient is φ = 14620354560.

The previous prime is 45300003311. The next prime is 45300003337. The reversal of 45300003320 is 2330000354.

It is a super-2 number, since 2×45300003320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45300003292 and 45300003301.

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 63 ways as a sum of consecutive naturals, for example, 57559967 + ... + 57560753.

It is an arithmetic number, because the mean of its divisors is an integer number (485890650).

Almost surely, 2^45300003320 is an apocalyptic number.

45300003320 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 45300003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62194003200).

45300003320 is an abundant number, since it is smaller than the sum of its proper divisors (79088003080).

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

45300003320 is a wasteful number, since it uses less digits than its factorization.

45300003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 45300003320 its reverse (2330000354), we get a palindrome (47630003674).

The spelling of 45300003320 in words is "forty-five billion, three hundred million, three thousand, three hundred twenty".