45314016 has 144 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 13277440.

The previous prime is 45313997. The next prime is 45314021. The reversal of 45314016 is 61041354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545911 + ... + 545993.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 2^45314016 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 45314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

45314016 is an abundant number, since it is smaller than the sum of its proper divisors (89822496).

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

45314016 is a wasteful number, since it uses less digits than its factorization.

45314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45314016 is about 6731.5686136294. The cubic root of 45314016 is about 356.5147626151.

The spelling of 45314016 in words is "forty-five million, three hundred fourteen thousand, sixteen".