93342078307968 has 768 divisors, whose sum is σ = 317250076584960. Its totient is φ = 24135580385280.

The previous prime is 93342078307967. The next prime is 93342078307979. The reversal of 93342078307968 is 86970387024339.

It is not an unprimeable number, because it can be changed into a prime (93342078307967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1556787046 + ... + 1556847002.

It is an arithmetic number, because the mean of its divisors is an integer number (413086037220).

Almost surely, 2^{93342078307968} is an apocalyptic number.

93342078307968 is a gapful number since it is divisible by the number (98) 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 93342078307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158625038292480).

93342078307968 is an abundant number, since it is smaller than the sum of its proper divisors (223907998276992).

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

93342078307968 is a wasteful number, since it uses less digits than its factorization.

93342078307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60193 (or 60174 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 93342078307968 in words is "ninety-three trillion, three hundred forty-two billion, seventy-eight million, three hundred seven thousand, nine hundred sixty-eight".