93390748801 has 27 divisors (see below), whose sum is σ = 109746785001. Its totient is φ = 79240598304.

The previous prime is 93390748799. The next prime is 93390748813. The reversal of 93390748801 is 10884709339.

The square root of 93390748801 is 305599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1232361025 + 92158387776 = 35105^2 + 303576^2 .

It is not a de Polignac number, because 93390748801 - 2¹ = 93390748799 is a prime.

It is a super-2 number, since 2×93390748801² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93390748201) 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 26 ways as a sum of consecutive naturals, for example, 318739611 + ... + 318739903.

Almost surely, 2^93390748801 is an apocalyptic number.

93390748801 is the 305599-th square number.

93390748801 is the 152800-th centered octagonal number.

It is an amenable number.

93390748801 is a deficient number, since it is larger than the sum of its proper divisors (16356036200).

93390748801 is an frugal number, since it uses more digits than its factorization.

93390748801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 93390748801 in words is "ninety-three billion, three hundred ninety million, seven hundred forty-eight thousand, eight hundred one".