816194420964 has 144 divisors (see below), whose sum is σ = 2234466683904. Its totient is φ = 249714835200.

The previous prime is 816194420927. The next prime is 816194420969. The reversal of 816194420964 is 469024491618.

816194420964 is a `hidden beast` number, since 81 + 61 + 9 + 442 + 0 + 9 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 816194420964.

It is not an unprimeable number, because it can be changed into a prime (816194420969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98202369 + ... + 98210679.

Almost surely, 2^816194420964 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 816194420964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117233341952).

816194420964 is an abundant number, since it is smaller than the sum of its proper divisors (1418272262940).

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

816194420964 is a wasteful number, since it uses less digits than its factorization.

816194420964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 816194420964 in words is "eight hundred sixteen billion, one hundred ninety-four million, four hundred twenty thousand, nine hundred sixty-four".