849450447360 has 400 divisors, whose sum is σ = 3065786044992. Its totient is φ = 224783769600.

The previous prime is 849450447353. The next prime is 849450447371. The reversal of 849450447360 is 63744054948.

849450447360 is a `hidden beast` number, since 8 + 4 + 9 + 4 + 504 + 4 + 73 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 849450447297 and 849450447306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27148525 + ... + 27179795.

Almost surely, 2^849450447360 is an apocalyptic number.

849450447360 is a gapful number since it is divisible by the number (80) 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 849450447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532893022496).

849450447360 is an abundant number, since it is smaller than the sum of its proper divisors (2216335597632).

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

849450447360 is a wasteful number, since it uses less digits than its factorization.

849450447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31437 (or 31412 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 849450447360 in words is "eight hundred forty-nine billion, four hundred fifty million, four hundred forty-seven thousand, three hundred sixty".