7966228410351 has 12 divisors (see below), whose sum is σ = 11787427404480. Its totient is φ = 5181286770720.

The previous prime is 7966228410347. The next prime is 7966228410353. The reversal of 7966228410351 is 1530148226697.

It is a happy number.

7966228410351 is a `hidden beast` number, since 7 + 9 + 6 + 6 + 2 + 284 + 1 + 0 + 351 = 666.

It is not a de Polignac number, because 7966228410351 - 2² = 7966228410347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966228410353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10794347071 + ... + 10794347808.

It is an arithmetic number, because the mean of its divisors is an integer number (982285617040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7966228410351 = 15932456820702, but 3⋅7966228410351 = 23898685231053 is not.

Almost surely, 2^{7966228410351} is an apocalyptic number.

7966228410351 is a deficient number, since it is larger than the sum of its proper divisors (3821198994129).

7966228410351 is a wasteful number, since it uses less digits than its factorization.

7966228410351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21588694926 (or 21588694923 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7966228410351 in words is "seven trillion, nine hundred sixty-six billion, two hundred twenty-eight million, four hundred ten thousand, three hundred fifty-one".