1106507630664 has 24 divisors (see below), whose sum is σ = 2996791499910. Its totient is φ = 368835876864.

The previous prime is 1106507630663. The next prime is 1106507630681. The reversal of 1106507630664 is 4660367056011.

1106507630664 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 5 + 0 + 7 + 630 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 999284128164 + 107223502500 = 999642^2 + 327450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1106507630663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7684080697 + ... + 7684080840.

Almost surely, 2^{1106507630664} is an apocalyptic number.

It is an amenable number.

1106507630664 is an abundant number, since it is smaller than the sum of its proper divisors (1890283869246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1106507630664 is a wasteful number, since it uses less digits than its factorization.

1106507630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368161549 (or 15368161542 counting only the distinct ones).

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

The spelling of 1106507630664 in words is "one trillion, one hundred six billion, five hundred seven million, six hundred thirty thousand, six hundred sixty-four".