45355536 has 60 divisors (see below), whose sum is σ = 131321580. Its totient is φ = 14595840.

The previous prime is 45355529. The next prime is 45355543. The reversal of 45355536 is 63555354.

It is an interprime number because it is at equal distance from previous prime (45355529) and next prime (45355543).

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 24561936 = 4560^2 + 4956^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 45355536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (2188693).

Almost surely, 2^45355536 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 45355536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65660790).

45355536 is an abundant number, since it is smaller than the sum of its proper divisors (85966044).

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

45355536 is a wasteful number, since it uses less digits than its factorization.

45355536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10895 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 45355536 is about 6734.6518840991. The cubic root of 45355536 is about 356.6236176340.

The spelling of 45355536 in words is "forty-five million, three hundred fifty-five thousand, five hundred thirty-six".