849697744896 has 2880 divisors, whose sum is σ = 3757929215040. Its totient is φ = 187280916480.

The previous prime is 849697744867. The next prime is 849697744901. The reversal of 849697744896 is 698447796948.

849697744896 is a `hidden beast` number, since 8 + 4 + 9 + 69 + 7 + 74 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5267275776) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19760412651 + ... + 19760412693.

It is an arithmetic number, because the mean of its divisors is an integer number (1304836533).

Almost surely, 2^849697744896 is an apocalyptic number.

849697744896 is a gapful number since it is divisible by the number (86) 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 849697744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878964607520).

849697744896 is an abundant number, since it is smaller than the sum of its proper divisors (2908231470144).

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

849697744896 is a wasteful number, since it uses less digits than its factorization.

849697744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 849697744896 in words is "eight hundred forty-nine billion, six hundred ninety-seven million, seven hundred forty-four thousand, eight hundred ninety-six".