816606895104 has 2112 divisors, whose sum is σ = 3460925325312. Its totient is φ = 178362777600.

The previous prime is 816606895057. The next prime is 816606895171. The reversal of 816606895104 is 401598606618.

816606895104 is a `hidden beast` number, since 8 + 1 + 6 + 60 + 68 + 9 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×816606895104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6429975489 + ... + 6429975615.

Almost surely, 2^816606895104 is an apocalyptic number.

816606895104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816606895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730462662656).

816606895104 is an abundant number, since it is smaller than the sum of its proper divisors (2644318430208).

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

816606895104 is a wasteful number, since it uses less digits than its factorization.

816606895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 816606895104 in words is "eight hundred sixteen billion, six hundred six million, eight hundred ninety-five thousand, one hundred four".