9846135234936 has 512 divisors, whose sum is σ = 38654945280000. Its totient is φ = 2236462824960.

The previous prime is 9846135234931. The next prime is 9846135234961. The reversal of 9846135234936 is 6394325316489.

9846135234936 is a `hidden beast` number, since 9 + 8 + 4 + 6 + 13 + 523 + 4 + 93 + 6 = 666.

9846135234936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9846135234931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2909725 + ... + 5306483.

It is an arithmetic number, because the mean of its divisors is an integer number (75497940000).

Almost surely, 2^{9846135234936} 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 9846135234936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327472640000).

9846135234936 is an abundant number, since it is smaller than the sum of its proper divisors (28808810045064).

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

9846135234936 is a wasteful number, since it uses less digits than its factorization.

9846135234936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396824 (or 2396814 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 9846135234936 in words is "nine trillion, eight hundred forty-six billion, one hundred thirty-five million, two hundred thirty-four thousand, nine hundred thirty-six".