816406843392 has 728 divisors, whose sum is σ = 2827640665920. Its totient is φ = 230756843520.

The previous prime is 816406843391. The next prime is 816406843457. The reversal of 816406843392 is 293348604618.

816406843392 is a `hidden beast` number, since 8 + 1 + 64 + 0 + 68 + 433 + 92 = 666.

It is a super-2 number, since 2×816406843392² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816406843391) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2905362292 + ... + 2905362572.

Almost surely, 2^816406843392 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 816406843392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413820332960).

816406843392 is an abundant number, since it is smaller than the sum of its proper divisors (2011233822528).

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

816406843392 is an equidigital number, since it uses as much as digits as its factorization.

816406843392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 816406843392 in words is "eight hundred sixteen billion, four hundred six million, eight hundred forty-three thousand, three hundred ninety-two".