45294816 has 72 divisors (see below), whose sum is σ = 138325320. Its totient is φ = 12940032.

The previous prime is 45294811. The next prime is 45294833. The reversal of 45294816 is 61849254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45294811) 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, 111 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (1921185).

Almost surely, 2^45294816 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 45294816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69162660).

45294816 is an abundant number, since it is smaller than the sum of its proper divisors (93030504).

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

45294816 is a wasteful number, since it uses less digits than its factorization.

45294816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9641 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 45294816 is about 6730.1423461915. The cubic root of 45294816 is about 356.4644025496.

The spelling of 45294816 in words is "forty-five million, two hundred ninety-four thousand, eight hundred sixteen".