93335138064 has 135 divisors (see below), whose sum is σ = 303938650197. Its totient is φ = 26659850112.

The previous prime is 93335138059. The next prime is 93335138093. The reversal of 93335138064 is 46083153339.

The square root of 93335138064 is 305508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2498000400 + 90837137664 = 49980^2 + 301392^2 .

It is a super-2 number, since 2×93335138064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 25660854 + ... + 25664490.

Almost surely, 2^93335138064 is an apocalyptic number.

93335138064 is the 305508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93335138064

93335138064 is an abundant number, since it is smaller than the sum of its proper divisors (210603512133).

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

93335138064 is an equidigital number, since it uses as much as digits as its factorization.

93335138064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 93335138064 in words is "ninety-three billion, three hundred thirty-five million, one hundred thirty-eight thousand, sixty-four".