45336096 has 72 divisors (see below), whose sum is σ = 138853260. Its totient is φ = 13948416.

The previous prime is 45336091. The next prime is 45336103. The reversal of 45336096 is 69063354.

45336096 is a `hidden beast` number, since 45 + 3 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 1299600 = 6636^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 45336096.

It is not an unprimeable number, because it can be changed into a prime (45336091) 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 11 ways as a sum of consecutive naturals, for example, 2311 + ... + 9798.

Almost surely, 2^45336096 is an apocalyptic number.

It is an amenable number.

45336096 is an abundant number, since it is smaller than the sum of its proper divisors (93517164).

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

45336096 is a wasteful number, since it uses less digits than its factorization.

45336096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 45336096 is about 6733.2084476867. The cubic root of 45336096 is about 356.5726591075.

It can be divided in two parts, 4 and 5336096, that added together give a square (5336100 = 2310²).

The spelling of 45336096 in words is "forty-five million, three hundred thirty-six thousand, ninety-six".