849347481600 has 234 divisors, whose sum is σ = 3042183318746. Its totient is φ = 226492416000.

The previous prime is 849347481557. The next prime is 849347481623. The reversal of 849347481600 is 6184743948.

849347481600 is a `hidden beast` number, since 8 + 4 + 9 + 3 + 474 + 8 + 160 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 304916004864 + 544431476736 = 552192^2 + 737856^2 .

It is a super-2 number, since 2×849347481600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460800 + ... + 1382400.

Almost surely, 2^849347481600 is an apocalyptic number.

849347481600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 921600×921601.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849347481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521091659373).

849347481600 is an abundant number, since it is smaller than the sum of its proper divisors (2192835837146).

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

849347481600 is a wasteful number, since it uses less digits than its factorization.

849347481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921641 (or 921611 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 849347481600 in words is "eight hundred forty-nine billion, three hundred forty-seven million, four hundred eighty-one thousand, six hundred".