93871054607616 has 2160 divisors, whose sum is σ = 345198436672320. Its totient is φ = 25119424512000.

The previous prime is 93871054607609. The next prime is 93871054607651. The reversal of 93871054607616 is 61670645017839.

93871054607616 is a `hidden beast` number, since 9 + 3 + 8 + 7 + 1 + 0 + 5 + 4 + 6 + 0 + 7 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146444702656 + ... + 146444703296.

It is an arithmetic number, because the mean of its divisors is an integer number (159814091052).

Almost surely, 2^{93871054607616} is an apocalyptic number.

93871054607616 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 93871054607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172599218336160).

93871054607616 is an abundant number, since it is smaller than the sum of its proper divisors (251327382064704).

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

93871054607616 is a wasteful number, since it uses less digits than its factorization.

93871054607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 93871054607616 in words is "ninety-three trillion, eight hundred seventy-one billion, fifty-four million, six hundred seven thousand, six hundred sixteen".