9846347816448 has 960 divisors, whose sum is σ = 34965552061440. Its totient is φ = 2624746291200.

The previous prime is 9846347816423. The next prime is 9846347816453. The reversal of 9846347816448 is 8446187436489.

9846347816448 is a `hidden beast` number, since 9 + 8 + 4 + 63 + 47 + 81 + 6 + 448 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4713425388 + ... + 4713427476.

It is an arithmetic number, because the mean of its divisors is an integer number (36422450064).

Almost surely, 2^{9846347816448} 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 9846347816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482776030720).

9846347816448 is an abundant number, since it is smaller than the sum of its proper divisors (25119204244992).

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

9846347816448 is a wasteful number, since it uses less digits than its factorization.

9846347816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2452 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 9846347816448 in words is "nine trillion, eight hundred forty-six billion, three hundred forty-seven million, eight hundred sixteen thousand, four hundred forty-eight".