45710016 has 112 divisors (see below), whose sum is σ = 137818368. Its totient is φ = 13235200.

The previous prime is 45709999. The next prime is 45710017. The reversal of 45710016 is 61001754.

45710016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (45710017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48106 + ... + 49046.

Almost surely, 2^45710016 is an apocalyptic number.

45710016 is a gapful number since it is divisible by the number (46) 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 45710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68909184).

45710016 is an abundant number, since it is smaller than the sum of its proper divisors (92108352).

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

45710016 is a wasteful number, since it uses less digits than its factorization.

45710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 45710016 is about 6760.9182808255. The cubic root of 45710016 is about 357.5502816133.

The spelling of 45710016 in words is "forty-five million, seven hundred ten thousand, sixteen".