9826339486464 has 432 divisors, whose sum is σ = 30241418249952. Its totient is φ = 3057870569472.

The previous prime is 9826339486429. The next prime is 9826339486489. The reversal of 9826339486464 is 4646849336289.

9826339486464 is a `hidden beast` number, since 9 + 82 + 6 + 3 + 3 + 9 + 4 + 86 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9826339486392 and 9826339486401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4169001574 + ... + 4169003930.

It is an arithmetic number, because the mean of its divisors is an integer number (70003282986).

Almost surely, 2^{9826339486464} 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 9826339486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120709124976).

9826339486464 is an abundant number, since it is smaller than the sum of its proper divisors (20415078763488).

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

9826339486464 is a wasteful number, since it uses less digits than its factorization.

9826339486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3195 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 72.

The spelling of 9826339486464 in words is "nine trillion, eight hundred twenty-six billion, three hundred thirty-nine million, four hundred eighty-six thousand, four hundred sixty-four".