45636416 has 112 divisors (see below), whose sum is σ = 111581184. Its totient is φ = 18095616.

The previous prime is 45636413. The next prime is 45636419. The reversal of 45636416 is 61463654.

It is an interprime number because it is at equal distance from previous prime (45636413) and next prime (45636419).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45636413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 443021 + ... + 443123.

Almost surely, 2^45636416 is an apocalyptic number.

45636416 is a gapful number since it is divisible by the number (46) 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 45636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55790592).

45636416 is an abundant number, since it is smaller than the sum of its proper divisors (65944768).

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

45636416 is a wasteful number, since it uses less digits than its factorization.

45636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 45636416 is about 6755.4730404317. The cubic root of 45636416 is about 357.3582752819.

The spelling of 45636416 in words is "forty-five million, six hundred thirty-six thousand, four hundred sixteen".