93344299920 has 240 divisors, whose sum is σ = 318266348400. Its totient is φ = 24512937984.

The previous prime is 93344299913. The next prime is 93344299921. The reversal of 93344299920 is 2999244339.

93344299920 is a `hidden beast` number, since 9 + 3 + 344 + 299 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1833209856 + 91511090064 = 42816^2 + 302508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (93344299921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55134594 + ... + 55136286.

It is an arithmetic number, because the mean of its divisors is an integer number (1326109785).

Almost surely, 2^93344299920 is an apocalyptic number.

93344299920 is a gapful number since it is divisible by the number (90) 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 93344299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159133174200).

93344299920 is an abundant number, since it is smaller than the sum of its proper divisors (224922048480).

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

93344299920 is a wasteful number, since it uses less digits than its factorization.

93344299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 93344299920 in words is "ninety-three billion, three hundred forty-four million, two hundred ninety-nine thousand, nine hundred twenty".