93314046421120 has 128 divisors (see below), whose sum is σ = 259126770182400. Its totient is φ = 31468905492480.

The previous prime is 93314046421087. The next prime is 93314046421129. The reversal of 93314046421120 is 2112464041339.

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

It is a super-2 number, since 2×93314046421120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (93314046421129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170456460 + ... + 171003019.

It is an arithmetic number, because the mean of its divisors is an integer number (2024427892050).

Almost surely, 2^{93314046421120} is an apocalyptic number.

It is an amenable number.

93314046421120 is an abundant number, since it is smaller than the sum of its proper divisors (165812723761280).

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

93314046421120 is a wasteful number, since it uses less digits than its factorization.

93314046421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341459566 (or 341459554 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 93314046421120 in words is "ninety-three trillion, three hundred fourteen billion, forty-six million, four hundred twenty-one thousand, one hundred twenty".