10346561667 has 24 divisors (see below), whose sum is σ = 16162036800. Its totient is φ = 6340457088.

The previous prime is 10346561651. The next prime is 10346561671. The reversal of 10346561667 is 76616564301.

It is not a de Polignac number, because 10346561667 - 2⁴ = 10346561651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10346561647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157042 + ... + 212967.

It is an arithmetic number, because the mean of its divisors is an integer number (673418200).

Almost surely, 2^10346561667 is an apocalyptic number.

10346561667 is a deficient number, since it is larger than the sum of its proper divisors (5815475133).

10346561667 is a wasteful number, since it uses less digits than its factorization.

10346561667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370267 (or 370264 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10346561667 in words is "ten billion, three hundred forty-six million, five hundred sixty-one thousand, six hundred sixty-seven".