45581536 has 96 divisors (see below), whose sum is σ = 120572928. Its totient is φ = 16381440.

The previous prime is 45581531. The next prime is 45581593. The reversal of 45581536 is 63518554.

It is a junction number, because it is equal to n+sod(n) for n = 45581495 and 45581504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45581531) 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, 31321 + ... + 32743.

It is an arithmetic number, because the mean of its divisors is an integer number (1255968).

Almost surely, 2^45581536 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 45581536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60286464).

45581536 is an abundant number, since it is smaller than the sum of its proper divisors (74991392).

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

45581536 is a wasteful number, since it uses less digits than its factorization.

45581536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

The square root of 45581536 is about 6751.4099268227. The cubic root of 45581536 is about 357.2149709465.

It can be divided in two parts, 45 and 581536, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 45581536 in words is "forty-five million, five hundred eighty-one thousand, five hundred thirty-six".