93122007810048 has 2520 divisors, whose sum is σ = 352791216375360. Its totient is φ = 23992978636800.

The previous prime is 93122007810047. The next prime is 93122007810103. The reversal of 93122007810048 is 84001870022139.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 93122007809985 and 93122007810012.

It is not an unprimeable number, because it can be changed into a prime (93122007810047) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1526590291938 + ... + 1526590291998.

Almost surely, 2^{93122007810048} 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 93122007810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176395608187680).

93122007810048 is an abundant number, since it is smaller than the sum of its proper divisors (259669208565312).

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

93122007810048 is an frugal number, since it uses more digits than its factorization.

93122007810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 93122007810048 in words is "ninety-three trillion, one hundred twenty-two billion, seven million, eight hundred ten thousand, forty-eight".