45845736 has 64 divisors (see below), whose sum is σ = 122083200. Its totient is φ = 14297088.

The previous prime is 45845731. The next prime is 45845741. The reversal of 45845736 is 63754854.

45845736 = 163² + 164² + ... + 521².

It is an interprime number because it is at equal distance from previous prime (45845731) and next prime (45845741).

It is not an unprimeable number, because it can be changed into a prime (45845731) 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, 127525 + ... + 127883.

It is an arithmetic number, because the mean of its divisors is an integer number (1907550).

Almost surely, 2^45845736 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 45845736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61041600).

45845736 is an abundant number, since it is smaller than the sum of its proper divisors (76237464).

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

45845736 is a wasteful number, since it uses less digits than its factorization.

45845736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45845736 is about 6770.9479395429. The cubic root of 45845736 is about 357.9038057042.

The spelling of 45845736 in words is "forty-five million, eight hundred forty-five thousand, seven hundred thirty-six".