849392248320 has 1280 divisors, whose sum is σ = 3839539968000. Its totient is φ = 176442900480.

The previous prime is 849392248297. The next prime is 849392248373. The reversal of 849392248320 is 23842293948.

849392248320 is a `hidden beast` number, since 8 + 4 + 9 + 392 + 248 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×849392248320² (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 127 ways as a sum of consecutive naturals, for example, 260788132 + ... + 260791388.

It is an arithmetic number, because the mean of its divisors is an integer number (2999640600).

Almost surely, 2^849392248320 is an apocalyptic number.

849392248320 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 849392248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919769984000).

849392248320 is an abundant number, since it is smaller than the sum of its proper divisors (2990147719680).

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

849392248320 is a wasteful number, since it uses less digits than its factorization.

849392248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 849392248320 in words is "eight hundred forty-nine billion, three hundred ninety-two million, two hundred forty-eight thousand, three hundred twenty".