7831428743961 has 27 divisors (see below), whose sum is σ = 11746886305791. Its totient is φ = 5220801378648.

The previous prime is 7831428743921. The next prime is 7831428743989. The reversal of 7831428743961 is 1693478241387.

The square root of 7831428743961 is 2798469.

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

7831428743961 is a `hidden beast` number, since 7 + 8 + 314 + 287 + 4 + 39 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7540411652361 + 291017091600 = 2745981^2 + 539460^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 7831428743961 - 2³⁷ = 7693989790489 is a prime.

It is a super-2 number, since 2×7831428743961² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7831428743921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 226658715 + ... + 226693263.

Almost surely, 2^{7831428743961} is an apocalyptic number.

7831428743961 is the 2798469-th square number.

7831428743961 is the 1399235-th centered octagonal number.

It is an amenable number.

7831428743961 is a deficient number, since it is larger than the sum of its proper divisors (3915457561830).

7831428743961 is an frugal number, since it uses more digits than its factorization.

7831428743961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69122 (or 34552 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 7831428743961 in words is "seven trillion, eight hundred thirty-one billion, four hundred twenty-eight million, seven hundred forty-three thousand, nine hundred sixty-one".