45817344 has 120 divisors (see below), whose sum is σ = 135224232. Its totient is φ = 14929920.

The previous prime is 45817327. The next prime is 45817367. The reversal of 45817344 is 44371854.

45817344 is a `hidden beast` number, since 4 + 581 + 73 + 4 + 4 = 666.

It is a super-2 number, since 2×45817344² = 4198458022428672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45817299 and 45817308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281007 + ... + 281169.

Almost surely, 2^45817344 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 45817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67612116).

45817344 is an abundant number, since it is smaller than the sum of its proper divisors (89406888).

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

45817344 is a wasteful number, since it uses less digits than its factorization.

45817344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45817344 is about 6768.8510103266. The cubic root of 45817344 is about 357.8299078594.

The spelling of 45817344 in words is "forty-five million, eight hundred seventeen thousand, three hundred forty-four".