9854362142064 has 960 divisors, whose sum is σ = 33848494272000. Its totient is φ = 2714483404800.

The previous prime is 9854362141973. The next prime is 9854362142069. The reversal of 9854362142064 is 4602412634589.

9854362142064 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 3 + 621 + 4 + 2 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9854362142064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9854362142069) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11887046802 + ... + 11887047630.

It is an arithmetic number, because the mean of its divisors is an integer number (35258848200).

Almost surely, 2^{9854362142064} 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 9854362142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924247136000).

9854362142064 is an abundant number, since it is smaller than the sum of its proper divisors (23994132129936).

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

9854362142064 is a wasteful number, since it uses less digits than its factorization.

9854362142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 9854362142064 in words is "nine trillion, eight hundred fifty-four billion, three hundred sixty-two million, one hundred forty-two thousand, sixty-four".