93414307380480 has 720 divisors, whose sum is σ = 349204150587600. Its totient is φ = 23813288755200.

The previous prime is 93414307380473. The next prime is 93414307380491. The reversal of 93414307380480 is 8408370341439.

93414307380480 is a `hidden beast` number, since 9 + 3 + 4 + 14 + 3 + 0 + 73 + 80 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13370759424 + 93400936621056 = 115632^2 + 9664416^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303524916 + ... + 303832524.

It is an arithmetic number, because the mean of its divisors is an integer number (485005764705).

Almost surely, 2^{93414307380480} is an apocalyptic number.

93414307380480 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 93414307380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174602075293800).

93414307380480 is an abundant number, since it is smaller than the sum of its proper divisors (255789843207120).

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

93414307380480 is a wasteful number, since it uses less digits than its factorization.

93414307380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307772 (or 307749 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 93414307380480 in words is "ninety-three trillion, four hundred fourteen billion, three hundred seven million, three hundred eighty thousand, four hundred eighty".