842825701678848 has 288 divisors, whose sum is σ = 2348374101921792. Its totient is φ = 268020712243200.

The previous prime is 842825701678847. The next prime is 842825701678861. The reversal of 842825701678848 is 848876107528248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842825701678847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19704598390 + ... + 19704641162.

It is an arithmetic number, because the mean of its divisors is an integer number (8154076742784).

Almost surely, 2^{842825701678848} 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 842825701678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174187050960896).

842825701678848 is an abundant number, since it is smaller than the sum of its proper divisors (1505548400242944).

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

842825701678848 is a wasteful number, since it uses less digits than its factorization.

842825701678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54551 (or 54537 counting only the distinct ones).

The product of its (nonzero) digits is 3082813440, while the sum is 78.

The spelling of 842825701678848 in words is "eight hundred forty-two trillion, eight hundred twenty-five billion, seven hundred one million, six hundred seventy-eight thousand, eight hundred forty-eight".