45115416 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 12902400.

The previous prime is 45115409. The next prime is 45115429. The reversal of 45115416 is 61451154.

It is a self number, because there is not a number n which added to its sum of digits gives 45115416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100356 + ... + 1100396.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^45115416 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 45115416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

45115416 is an abundant number, since it is smaller than the sum of its proper divisors (96407784).

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

45115416 is a wasteful number, since it uses less digits than its factorization.

45115416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 45115416 is about 6716.8010242972. The cubic root of 45115416 is about 355.9931615065.

The spelling of 45115416 in words is "forty-five million, one hundred fifteen thousand, four hundred sixteen".