45116064 has 216 divisors, whose sum is σ = 156854880. Its totient is φ = 12241152.

The previous prime is 45116059. The next prime is 45116069. The reversal of 45116064 is 46061154.

45116064 is a `hidden beast` number, since 4 + 51 + 1 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45116059) and next prime (45116069).

It is not an unprimeable number, because it can be changed into a prime (45116069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324507 + ... + 324645.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^45116064 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 45116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

45116064 is an abundant number, since it is smaller than the sum of its proper divisors (111738816).

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

45116064 is a wasteful number, since it uses less digits than its factorization.

45116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

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

The square root of 45116064 is about 6716.8492613725. The cubic root of 45116064 is about 355.9948658941.

The spelling of 45116064 in words is "forty-five million, one hundred sixteen thousand, sixty-four".