93721877243008 has 128 divisors (see below), whose sum is σ = 216319400064000. Its totient is φ = 39614151278592.

The previous prime is 93721877243003. The next prime is 93721877243041. The reversal of 93721877243008 is 80034277812739.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (93721877243003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998779628 + ... + 1998826516.

It is an arithmetic number, because the mean of its divisors is an integer number (1689995313000).

Almost surely, 2^{93721877243008} 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 93721877243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108159700032000).

93721877243008 is an abundant number, since it is smaller than the sum of its proper divisors (122597522820992).

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

93721877243008 is a wasteful number, since it uses less digits than its factorization.

93721877243008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77542 (or 77530 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 61.

The spelling of 93721877243008 in words is "ninety-three trillion, seven hundred twenty-one billion, eight hundred seventy-seven million, two hundred forty-three thousand, eight".