849934498176 has 448 divisors, whose sum is σ = 2635863498000. Its totient is φ = 272539717632.

The previous prime is 849934498139. The next prime is 849934498181. The reversal of 849934498176 is 671894439948.

849934498176 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 3 + 449 + 8 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1198778910 + ... + 1198779618.

Almost surely, 2^849934498176 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 849934498176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317931749000).

849934498176 is an abundant number, since it is smaller than the sum of its proper divisors (1785928999824).

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

849934498176 is an equidigital number, since it uses as much as digits as its factorization.

849934498176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1186 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 849934498176 in words is "eight hundred forty-nine billion, nine hundred thirty-four million, four hundred ninety-eight thousand, one hundred seventy-six".