3993134948089 has 9 divisors (see below), whose sum is σ = 4645091619567. Its totient is φ = 3422675108664.

The previous prime is 3993134948083. The next prime is 3993134948107. The reversal of 3993134948089 is 9808494313993.

The square root of 3993134948089 is 1998283.

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., 1858087955689 + 2135046992400 = 1363117^2 + 1461180^2 .

It is not a de Polignac number, because 3993134948089 - 2⁷ = 3993134947961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3993134948083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13845247 + ... + 14130715.

It is an arithmetic number, because the mean of its divisors is an integer number (516121291063).

Almost surely, 2^{3993134948089} is an apocalyptic number.

3993134948089 is the 1998283-rd square number.

3993134948089 is the 999142-nd centered octagonal number.

It is an amenable number.

3993134948089 is a deficient number, since it is larger than the sum of its proper divisors (651956671478).

3993134948089 is an frugal number, since it uses more digits than its factorization.

3993134948089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570952 (or 285476 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 70.

The spelling of 3993134948089 in words is "three trillion, nine hundred ninety-three billion, one hundred thirty-four million, nine hundred forty-eight thousand, eighty-nine".