844393642092 has 1152 divisors, whose sum is σ = 3101466368000. Its totient is φ = 197157058560.

The previous prime is 844393642061. The next prime is 844393642133. The reversal of 844393642092 is 290246393448.

844393642092 is a `hidden beast` number, since 8 + 4 + 43 + 93 + 6 + 420 + 92 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2505618948 + ... + 2505619284.

Almost surely, 2^844393642092 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 844393642092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550733184000).

844393642092 is an abundant number, since it is smaller than the sum of its proper divisors (2257072725908).

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

844393642092 is a wasteful number, since it uses less digits than its factorization.

844393642092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 844393642092 in words is "eight hundred forty-four billion, three hundred ninety-three million, six hundred forty-two thousand, ninety-two".