45614016 has 168 divisors, whose sum is σ = 155326080. Its totient is φ = 13001472.

The previous prime is 45614011. The next prime is 45614039. The reversal of 45614016 is 61041654.

45614016 is a `hidden beast` number, since 45 + 614 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45614011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108655 + ... + 109073.

It is an arithmetic number, because the mean of its divisors is an integer number (924560).

Almost surely, 2^45614016 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 45614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

45614016 is an abundant number, since it is smaller than the sum of its proper divisors (109712064).

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

45614016 is an equidigital number, since it uses as much as digits as its factorization.

45614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

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

The square root of 45614016 is about 6753.8149219534. The cubic root of 45614016 is about 357.2997976003.

The spelling of 45614016 in words is "forty-five million, six hundred fourteen thousand, sixteen".