45112320 has 264 divisors, whose sum is σ = 172439280. Its totient is φ = 10813440.

The previous prime is 45112303. The next prime is 45112337. The reversal of 45112320 is 2321154.

It is an interprime number because it is at equal distance from previous prime (45112303) and next prime (45112337).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45112293 and 45112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506836 + ... + 506924.

Almost surely, 2^45112320 is an apocalyptic number.

45112320 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 45112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219640).

45112320 is an abundant number, since it is smaller than the sum of its proper divisors (127326960).

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

45112320 is a wasteful number, since it uses less digits than its factorization.

45112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45112320 is about 6716.5705534893. The cubic root of 45112320 is about 355.9850180961.

Adding to 45112320 its reverse (2321154), we get a palindrome (47433474).

The spelling of 45112320 in words is "forty-five million, one hundred twelve thousand, three hundred twenty".