10663146351561 has 64 divisors (see below), whose sum is σ = 16669939968000. Its totient is φ = 5990705064960.

The previous prime is 10663146351541. The next prime is 10663146351577. The reversal of 10663146351561 is 16515364136601.

It is not a de Polignac number, because 10663146351561 - 2⁶ = 10663146351497 is a prime.

It is a super-2 number, since 2×10663146351561² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10663146351561.

It is not an unprimeable number, because it can be changed into a prime (10663146351541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323118940 + ... + 323151938.

It is an arithmetic number, because the mean of its divisors is an integer number (260467812000).

Almost surely, 2^{10663146351561} is an apocalyptic number.

10663146351561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10663146351561 is a deficient number, since it is larger than the sum of its proper divisors (6006793616439).

10663146351561 is a wasteful number, since it uses less digits than its factorization.

10663146351561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41694.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 10663146351561 in words is "ten trillion, six hundred sixty-three billion, one hundred forty-six million, three hundred fifty-one thousand, five hundred sixty-one".