93881538206664 has 512 divisors, whose sum is σ = 269552295936000. Its totient is φ = 27043725312000.

The previous prime is 93881538206627. The next prime is 93881538206683. The reversal of 93881538206664 is 46660283518839.

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, 35307083367 + ... + 35307086025.

It is an arithmetic number, because the mean of its divisors is an integer number (526469328000).

Almost surely, 2^{93881538206664} is an apocalyptic number.

93881538206664 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 93881538206664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134776147968000).

93881538206664 is an abundant number, since it is smaller than the sum of its proper divisors (175670757729336).

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

93881538206664 is a wasteful number, since it uses less digits than its factorization.

93881538206664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 93881538206664 in words is "ninety-three trillion, eight hundred eighty-one billion, five hundred thirty-eight million, two hundred six thousand, six hundred sixty-four".