1455616116 has 48 divisors (see below), whose sum is σ = 3789676800. Its totient is φ = 483166656.

The previous prime is 1455616079. The next prime is 1455616139. The reversal of 1455616116 is 6116165541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385 + ... + 54008.

It is an arithmetic number, because the mean of its divisors is an integer number (78951600).

Almost surely, 2^1455616116 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 1455616116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894838400).

1455616116 is an abundant number, since it is smaller than the sum of its proper divisors (2334060684).

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

1455616116 is a wasteful number, since it uses less digits than its factorization.

1455616116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56645 (or 56637 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1455616116 is about 38152.5374778664. The cubic root of 1455616116 is about 1133.3106025045.

The spelling of 1455616116 in words is "one billion, four hundred fifty-five million, six hundred sixteen thousand, one hundred sixteen".