1016914464 has 144 divisors (see below), whose sum is σ = 3008842200. Its totient is φ = 325398528.

The previous prime is 1016914463. The next prime is 1016914471. The reversal of 1016914464 is 4644196101.

1016914464 is a `hidden beast` number, since 101 + 6 + 91 + 4 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420578064 + 596336400 = 20508^2 + 24420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016914463) 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 23 ways as a sum of consecutive naturals, for example, 2613982 + ... + 2614370.

Almost surely, 2^1016914464 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 1016914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504421100).

1016914464 is an abundant number, since it is smaller than the sum of its proper divisors (1991927736).

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

1016914464 is a wasteful number, since it uses less digits than its factorization.

1016914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1016914464 is about 31889.0963183343. The cubic root of 1016914464 is about 1005.6066612683.

The spelling of 1016914464 in words is "one billion, sixteen million, nine hundred fourteen thousand, four hundred sixty-four".