849456381312 has 2048 divisors, whose sum is σ = 3486390681600. Its totient is φ = 198717235200.

The previous prime is 849456381307. The next prime is 849456381337. The reversal of 849456381312 is 213183654948.

It is a happy number.

849456381312 is a `hidden beast` number, since 8 + 49 + 4 + 563 + 8 + 1 + 31 + 2 = 666.

849456381312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×849456381312² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22958280558 + ... + 22958280594.

It is an arithmetic number, because the mean of its divisors is an integer number (1702339200).

Almost surely, 2^849456381312 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 849456381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743195340800).

849456381312 is an abundant number, since it is smaller than the sum of its proper divisors (2636934300288).

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

849456381312 is a wasteful number, since it uses less digits than its factorization.

849456381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 849456381312 in words is "eight hundred forty-nine billion, four hundred fifty-six million, three hundred eighty-one thousand, three hundred twelve".