906843517056 has 160 divisors (see below), whose sum is σ = 2700042554880. Its totient is φ = 302136583680.

The previous prime is 906843517039. The next prime is 906843517133. The reversal of 906843517056 is 650715348609.

906843517056 is a `hidden beast` number, since 90 + 6 + 8 + 435 + 1 + 70 + 56 = 666.

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 = 906843516993 and 906843517011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22862361 + ... + 22901991.

It is an arithmetic number, because the mean of its divisors is an integer number (16875265968).

Almost surely, 2^906843517056 is an apocalyptic number.

906843517056 is a gapful number since it is divisible by the number (96) 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 906843517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350021277440).

906843517056 is an abundant number, since it is smaller than the sum of its proper divisors (1793199037824).

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

906843517056 is a wasteful number, since it uses less digits than its factorization.

906843517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41864 (or 41843 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 906843517056 in words is "nine hundred six billion, eight hundred forty-three million, five hundred seventeen thousand, fifty-six".