1016548416 has 84 divisors (see below), whose sum is σ = 3137910412. Its totient is φ = 312781824.

The previous prime is 1016548409. The next prime is 1016548441. The reversal of 1016548416 is 6148456101.

1016548416 is a `hidden beast` number, since 1 + 0 + 165 + 484 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 914457600 = 10104^2 + 30240^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60391 + ... + 75366.

Almost surely, 2^1016548416 is an apocalyptic number.

1016548416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1016548416 is an abundant number, since it is smaller than the sum of its proper divisors (2121361996).

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

1016548416 is a wasteful number, since it uses less digits than its factorization.

1016548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135788 (or 135775 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1016548416 is about 31883.3564105161. The cubic root of 1016548416 is about 1005.4859875715.

The spelling of 1016548416 in words is "one billion, sixteen million, five hundred forty-eight thousand, four hundred sixteen".