849090419856 has 400 divisors, whose sum is σ = 2840533753728. Its totient is φ = 239849164800.

The previous prime is 849090419839. The next prime is 849090419909. The reversal of 849090419856 is 658914090948.

849090419856 is a `hidden beast` number, since 8 + 490 + 9 + 0 + 4 + 1 + 98 + 56 = 666.

849090419856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 849090419793 and 849090419802.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554597811 + ... + 554599341.

Almost surely, 2^849090419856 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 849090419856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420266876864).

849090419856 is an abundant number, since it is smaller than the sum of its proper divisors (1991443333872).

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

849090419856 is a wasteful number, since it uses less digits than its factorization.

849090419856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 849090419856 in words is "eight hundred forty-nine billion, ninety million, four hundred nineteen thousand, eight hundred fifty-six".