816216881664 has 160 divisors (see below), whose sum is σ = 2199306485376. Its totient is φ = 268970803200.

The previous prime is 816216881653. The next prime is 816216881713. The reversal of 816216881664 is 466188612618.

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

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, 112780254 + ... + 112787490.

Almost surely, 2^816216881664 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 816216881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099653242688).

816216881664 is an abundant number, since it is smaller than the sum of its proper divisors (1383089603712).

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

816216881664 is a wasteful number, since it uses less digits than its factorization.

816216881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086 (or 8070 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The spelling of 816216881664 in words is "eight hundred sixteen billion, two hundred sixteen million, eight hundred eighty-one thousand, six hundred sixty-four".