93328378416 has 480 divisors, whose sum is σ = 337287787200. Its totient is φ = 24490045440.

The previous prime is 93328378379. The next prime is 93328378417. The reversal of 93328378416 is 61487382339.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93328378417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63016396 + ... + 63017876.

It is an arithmetic number, because the mean of its divisors is an integer number (702682890).

Almost surely, 2^93328378416 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 93328378416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168643893600).

93328378416 is an abundant number, since it is smaller than the sum of its proper divisors (243959408784).

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

93328378416 is a wasteful number, since it uses less digits than its factorization.

93328378416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 93328378416 in words is "ninety-three billion, three hundred twenty-eight million, three hundred seventy-eight thousand, four hundred sixteen".