849211017984 has 864 divisors, whose sum is σ = 3013800491520. Its totient is φ = 224609697792.

The previous prime is 849211017961. The next prime is 849211017997. The reversal of 849211017984 is 489710112948.

849211017984 is a `hidden beast` number, since 8 + 492 + 1 + 1 + 0 + 1 + 79 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 849211017984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4400056992 + ... + 4400057184.

Almost surely, 2^849211017984 is an apocalyptic number.

849211017984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849211017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506900245760).

849211017984 is an abundant number, since it is smaller than the sum of its proper divisors (2164589473536).

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

849211017984 is a wasteful number, since it uses less digits than its factorization.

849211017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 849211017984 in words is "eight hundred forty-nine billion, two hundred eleven million, seventeen thousand, nine hundred eighty-four".