849465840600 has 1152 divisors, whose sum is σ = 3277155248640. Its totient is φ = 203226071040.

The previous prime is 849465840593. The next prime is 849465840647. The reversal of 849465840600 is 6048564948.

849465840600 is a `hidden beast` number, since 8 + 49 + 465 + 84 + 0 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5086621717 + ... + 5086621883.

It is an arithmetic number, because the mean of its divisors is an integer number (2844752820).

Almost surely, 2^849465840600 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 849465840600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638577624320).

849465840600 is an abundant number, since it is smaller than the sum of its proper divisors (2427689408040).

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

849465840600 is a wasteful number, since it uses less digits than its factorization.

849465840600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 849465840600 in words is "eight hundred forty-nine billion, four hundred sixty-five million, eight hundred forty thousand, six hundred".