93328339104 has 1152 divisors, whose sum is σ = 383774146560. Its totient is φ = 21287577600.

The previous prime is 93328339067. The next prime is 93328339133. The reversal of 93328339104 is 40193382339.

It is a super-2 number, since 2×93328339104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93328339104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1581836227 + ... + 1581836285.

It is an arithmetic number, because the mean of its divisors is an integer number (333137280).

Almost surely, 2^93328339104 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 93328339104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191887073280).

93328339104 is an abundant number, since it is smaller than the sum of its proper divisors (290445807456).

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

93328339104 is a wasteful number, since it uses less digits than its factorization.

93328339104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 93328339104 in words is "ninety-three billion, three hundred twenty-eight million, three hundred thirty-nine thousand, one hundred four".