93434814720 has 432 divisors, whose sum is σ = 356656717872. Its totient is φ = 22436904960.

The previous prime is 93434814659. The next prime is 93434814757. The reversal of 93434814720 is 2741843439.

93434814720 is a `hidden beast` number, since 93 + 43 + 481 + 47 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11070406656 + 82364408064 = 105216^2 + 286992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132552 + ... + 6147768.

Almost surely, 2^93434814720 is an apocalyptic number.

93434814720 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 93434814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178328358936).

93434814720 is an abundant number, since it is smaller than the sum of its proper divisors (263221903152).

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

93434814720 is a wasteful number, since it uses less digits than its factorization.

93434814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15298 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 93434814720 in words is "ninety-three billion, four hundred thirty-four million, eight hundred fourteen thousand, seven hundred twenty".