45563364 has 96 divisors (see below), whose sum is σ = 147302400. Its totient is φ = 11832480.

The previous prime is 45563363. The next prime is 45563381. The reversal of 45563364 is 46336554.

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

It is not an unprimeable number, because it can be changed into a prime (45563363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5577 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (1534400).

Almost surely, 2^45563364 is an apocalyptic number.

45563364 is a gapful number since it is divisible by the number (44) 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 45563364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73651200).

45563364 is an abundant number, since it is smaller than the sum of its proper divisors (101739036).

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

45563364 is a wasteful number, since it uses less digits than its factorization.

45563364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5502 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 45563364 is about 6750.0639996966. The cubic root of 45563364 is about 357.1674943156.

The spelling of 45563364 in words is "forty-five million, five hundred sixty-three thousand, three hundred sixty-four".