93167716316064 has 768 divisors, whose sum is σ = 283376835624960. Its totient is φ = 26598274560000.

The previous prime is 93167716316047. The next prime is 93167716316089. The reversal of 93167716316064 is 46061361776139.

It is a junction number, because it is equal to n+sod(n) for n = 93167716315989 and 93167716316007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18817956789 + ... + 18817961739.

It is an arithmetic number, because the mean of its divisors is an integer number (368980254720).

Almost surely, 2^{93167716316064} is an apocalyptic number.

93167716316064 is a gapful number since it is divisible by the number (94) 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 93167716316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141688417812480).

93167716316064 is an abundant number, since it is smaller than the sum of its proper divisors (190209119308896).

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

93167716316064 is a wasteful number, since it uses less digits than its factorization.

93167716316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 93167716316064 in words is "ninety-three trillion, one hundred sixty-seven billion, seven hundred sixteen million, three hundred sixteen thousand, sixty-four".