85946693376 has 144 divisors (see below), whose sum is σ = 232816096800. Its totient is φ = 28143058944.

The previous prime is 85946693341. The next prime is 85946693381. The reversal of 85946693376 is 67339664958.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10727260 + ... + 10735268.

It is an arithmetic number, because the mean of its divisors is an integer number (1616778450).

Almost surely, 2^85946693376 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 85946693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116408048400).

85946693376 is an abundant number, since it is smaller than the sum of its proper divisors (146869403424).

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

85946693376 is a wasteful number, since it uses less digits than its factorization.

85946693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8260 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 66.

The spelling of 85946693376 in words is "eighty-five billion, nine hundred forty-six million, six hundred ninety-three thousand, three hundred seventy-six".