84946058814968 has 192 divisors, whose sum is σ = 179395967812320. Its totient is φ = 37661021798400.

The previous prime is 84946058814949. The next prime is 84946058814971. The reversal of 84946058814968 is 86941885064948.

It is a junction number, because it is equal to n+sod(n) for n = 84946058814892 and 84946058814901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10833570728 + ... + 10833578568.

Almost surely, 2^{84946058814968} 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 84946058814968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89697983906160).

84946058814968 is an abundant number, since it is smaller than the sum of its proper divisors (94449908997352).

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

84946058814968 is a wasteful number, since it uses less digits than its factorization.

84946058814968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10881 counting only the distinct ones).

The product of its (nonzero) digits is 3822059520, while the sum is 80.

The spelling of 84946058814968 in words is "eighty-four trillion, nine hundred forty-six billion, fifty-eight million, eight hundred fourteen thousand, nine hundred sixty-eight".