9854112672 has 144 divisors (see below), whose sum is σ = 29350575072. Its totient is φ = 3251923200.

The previous prime is 9854112659. The next prime is 9854112689. The reversal of 9854112672 is 2762114589.

9854112672 is a `hidden beast` number, since 98 + 541 + 12 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779103 + ... + 791649.

It is an arithmetic number, because the mean of its divisors is an integer number (203823438).

Almost surely, 2^9854112672 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 9854112672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675287536).

9854112672 is an abundant number, since it is smaller than the sum of its proper divisors (19496462400).

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

9854112672 is a wasteful number, since it uses less digits than its factorization.

9854112672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12653 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9854112672 is about 99267.8833863199. The cubic root of 9854112672 is about 2143.9065011762.

The spelling of 9854112672 in words is "nine billion, eight hundred fifty-four million, one hundred twelve thousand, six hundred seventy-two".