45461016 has 48 divisors (see below), whose sum is σ = 124871760. Its totient is φ = 14938560.

The previous prime is 45461011. The next prime is 45461021. The reversal of 45461016 is 61016454.

45461016 is a `hidden beast` number, since 45 + 4 + 610 + 1 + 6 = 666.

45461016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45461011) and next prime (45461021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45461011) 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 11 ways as a sum of consecutive naturals, for example, 666 + ... + 9558.

It is an arithmetic number, because the mean of its divisors is an integer number (2601495).

Almost surely, 2^45461016 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 45461016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62435880).

45461016 is an abundant number, since it is smaller than the sum of its proper divisors (79410744).

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

45461016 is a wasteful number, since it uses less digits than its factorization.

45461016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8969 counting only the distinct ones).

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

The square root of 45461016 is about 6742.4784760502. The cubic root of 45461016 is about 356.8998612812.

The spelling of 45461016 in words is "forty-five million, four hundred sixty-one thousand, sixteen".