9842129856 has 280 divisors, whose sum is σ = 31601190544. Its totient is φ = 3023308800.

The previous prime is 9842129849. The next prime is 9842129867. The reversal of 9842129856 is 6589212489.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16375956 + ... + 16376556.

Almost surely, 2^9842129856 is an apocalyptic number.

9842129856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9842129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800595272).

9842129856 is an abundant number, since it is smaller than the sum of its proper divisors (21759060688).

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

9842129856 is an frugal number, since it uses more digits than its factorization.

9842129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 619 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 9842129856 is about 99207.5090706344. The cubic root of 9842129856 is about 2143.0371363321.

The spelling of 9842129856 in words is "nine billion, eight hundred forty-two million, one hundred twenty-nine thousand, eight hundred fifty-six".