93122886227072 has 128 divisors (see below), whose sum is σ = 201007371277440. Its totient is φ = 42717722370048.

The previous prime is 93122886227069. The next prime is 93122886227083. The reversal of 93122886227072 is 27072268822139.

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

It is a super-2 number, since 2×93122886227072² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4464816068 + ... + 4464836924.

It is an arithmetic number, because the mean of its divisors is an integer number (1570370088105).

Almost surely, 2^{93122886227072} 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 93122886227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100503685638720).

93122886227072 is an abundant number, since it is smaller than the sum of its proper divisors (107884485050368).

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

93122886227072 is a wasteful number, since it uses less digits than its factorization.

93122886227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37118 (or 37106 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 93122886227072 in words is "ninety-three trillion, one hundred twenty-two billion, eight hundred eighty-six million, two hundred twenty-seven thousand, seventy-two".