1100146650561 has 96 divisors (see below), whose sum is σ = 1969481564160. Its totient is φ = 594223529760.

The previous prime is 1100146650557. The next prime is 1100146650593. The reversal of 1100146650561 is 1650566410011.

1100146650561 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 46 + 6 + 50 + 561 = 666.

It is not a de Polignac number, because 1100146650561 - 2² = 1100146650557 is a prime.

It is a super-2 number, since 2×1100146650561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100146650511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7739616 + ... + 7880478.

It is an arithmetic number, because the mean of its divisors is an integer number (20515432960).

Almost surely, 2^{1100146650561} is an apocalyptic number.

It is an amenable number.

1100146650561 is a deficient number, since it is larger than the sum of its proper divisors (869334913599).

1100146650561 is a wasteful number, since it uses less digits than its factorization.

1100146650561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140984 (or 140947 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1100146650561 in words is "one trillion, one hundred billion, one hundred forty-six million, six hundred fifty thousand, five hundred sixty-one".