891258849 has 48 divisors (see below), whose sum is σ = 1468684800. Its totient is φ = 533542464.

The previous prime is 891258787. The next prime is 891258869. The reversal of 891258849 is 948852198.

891258849 is a `hidden beast` number, since 8 + 9 + 12 + 588 + 49 = 666.

It is not a de Polignac number, because 891258849 - 2¹⁶ = 891193313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 891258795 and 891258804.

It is not an unprimeable number, because it can be changed into a prime (891258869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166192 + ... + 171470.

It is an arithmetic number, because the mean of its divisors is an integer number (30597600).

Almost surely, 2^891258849 is an apocalyptic number.

It is an amenable number.

891258849 is a deficient number, since it is larger than the sum of its proper divisors (577425951).

891258849 is a wasteful number, since it uses less digits than its factorization.

891258849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5332 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 891258849 is about 29853.9586822250. The cubic root of 891258849 is about 962.3534737086.

The spelling of 891258849 in words is "eight hundred ninety-one million, two hundred fifty-eight thousand, eight hundred forty-nine".