45586368 has 224 divisors, whose sum is σ = 148254720. Its totient is φ = 13685760.

The previous prime is 45586361. The next prime is 45586379. The reversal of 45586368 is 86368554.

45586368 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 636 + 8 = 666.

Its product of digits (691200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45586361) 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, 1232046 + ... + 1232082.

Almost surely, 2^45586368 is an apocalyptic number.

45586368 is a gapful number since it is divisible by the number (48) 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 45586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74127360).

45586368 is an abundant number, since it is smaller than the sum of its proper divisors (102668352).

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

45586368 is a wasteful number, since it uses less digits than its factorization.

45586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 45586368 is about 6751.7677685181. The cubic root of 45586368 is about 357.2275930292.

It can be divided in two parts, 45586 and 368, that added together give a palindrome (45954).

The spelling of 45586368 in words is "forty-five million, five hundred eighty-six thousand, three hundred sixty-eight".