1616826816 has 84 divisors (see below), whose sum is σ = 5055665784. Its totient is φ = 489945600.

The previous prime is 1616826811. The next prime is 1616826823. The reversal of 1616826816 is 6186286161.

1616826816 is a `hidden beast` number, since 1 + 616 + 8 + 26 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×1616826816² = 5228257905873395712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616826811) 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 11 ways as a sum of consecutive naturals, for example, 121255 + ... + 133926.

Almost surely, 2^1616826816 is an apocalyptic number.

1616826816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1616826816 is an abundant number, since it is smaller than the sum of its proper divisors (3438838968).

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

1616826816 is a wasteful number, since it uses less digits than its factorization.

1616826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255210 (or 255197 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1616826816 is about 40209.7850777643. The cubic root of 1616826816 is about 1173.6929642555.

The spelling of 1616826816 in words is "one billion, six hundred sixteen million, eight hundred twenty-six thousand, eight hundred sixteen".