93346398535680 has 1904 divisors, whose sum is σ = 350351254187856. Its totient is φ = 23849651404800.

The previous prime is 93346398535669. The next prime is 93346398535681. The reversal of 93346398535680 is 8653589364339.

It is a happy number.

93346398535680 is a `hidden beast` number, since 9 + 3 + 3 + 4 + 6 + 3 + 9 + 8 + 53 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12232310390784 + 81114088144896 = 3497472^2 + 9006336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 93346398535599 and 93346398535608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93346398535681) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 924221767630 + ... + 924221767730.

Almost surely, 2^{93346398535680} is an apocalyptic number.

93346398535680 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 93346398535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175175627093928).

93346398535680 is an abundant number, since it is smaller than the sum of its proper divisors (257004855652176).

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

93346398535680 is an frugal number, since it uses more digits than its factorization.

93346398535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 93346398535680 in words is "ninety-three trillion, three hundred forty-six billion, three hundred ninety-eight million, five hundred thirty-five thousand, six hundred eighty".