45601416 has 96 divisors (see below), whose sum is σ = 142234560. Its totient is φ = 12928896.

The previous prime is 45601411. The next prime is 45601453. The reversal of 45601416 is 61410654.

45601416 is a `hidden beast` number, since 45 + 601 + 4 + 16 = 666.

45601416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45601416.

It is not an unprimeable number, because it can be changed into a prime (45601411) 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 23 ways as a sum of consecutive naturals, for example, 86931 + ... + 87453.

It is an arithmetic number, because the mean of its divisors is an integer number (1481610).

Almost surely, 2^45601416 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 45601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71117280).

45601416 is an abundant number, since it is smaller than the sum of its proper divisors (96633144).

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

45601416 is a wasteful number, since it uses less digits than its factorization.

45601416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45601416 is about 6752.8820513911. The cubic root of 45601416 is about 357.2668954908.

The spelling of 45601416 in words is "forty-five million, six hundred one thousand, four hundred sixteen".