93121322144 has 24 divisors (see below), whose sum is σ = 194116874868. Its totient is φ = 43821798400.

The previous prime is 93121322137. The next prime is 93121322153. The reversal of 93121322144 is 44122312139.

It can be written as a sum of positive squares in 2 ways, for example, as 74190864400 + 18930457744 = 272380^2 + 137588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 93121322144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85588907 + ... + 85589994.

Almost surely, 2^93121322144 is an apocalyptic number.

It is an amenable number.

93121322144 is an abundant number, since it is smaller than the sum of its proper divisors (100995552724).

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

93121322144 is a wasteful number, since it uses less digits than its factorization.

93121322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171178928 (or 171178920 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 93121322144 in words is "ninety-three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred forty-four".