7148268628417 has 32 divisors (see below), whose sum is σ = 8510356108800. Its totient is φ = 5999523042240.

The previous prime is 7148268628411. The next prime is 7148268628441.

It is a happy number.

7148268628417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7148268628417 - 2⁷ = 7148268628289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7148268628411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8753167 + ... + 9534907.

It is an arithmetic number, because the mean of its divisors is an integer number (265948628400).

Almost surely, 2^{7148268628417} is an apocalyptic number.

It is an amenable number.

7148268628417 is a deficient number, since it is larger than the sum of its proper divisors (1362087480383).

7148268628417 is an equidigital number, since it uses as much as digits as its factorization.

7148268628417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782318 (or 782304 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 64.

The spelling of 7148268628417 in words is "seven trillion, one hundred forty-eight billion, two hundred sixty-eight million, six hundred twenty-eight thousand, four hundred seventeen".