45345096 has 160 divisors (see below), whose sum is σ = 139392000. Its totient is φ = 13716864.

The previous prime is 45345071. The next prime is 45345101. The reversal of 45345096 is 69054354.

It is a happy number.

45345096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 45345096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356985 + ... + 357111.

It is an arithmetic number, because the mean of its divisors is an integer number (871200).

Almost surely, 2^45345096 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 45345096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696000).

45345096 is an abundant number, since it is smaller than the sum of its proper divisors (94046904).

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

45345096 is a wasteful number, since it uses less digits than its factorization.

45345096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45345096 is about 6733.8767437487. The cubic root of 45345096 is about 356.5962528285.

The spelling of 45345096 in words is "forty-five million, three hundred forty-five thousand, ninety-six".