11006634345156 has 36 divisors (see below), whose sum is σ = 27847413566700. Its totient is φ = 3665569825728.

The previous prime is 11006634345107. The next prime is 11006634345229. The reversal of 11006634345156 is 65154343660011.

11006634345156 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 63 + 434 + 5 + 156 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2631305736900 + 8375328608256 = 1622130^2 + 2894016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11006634345156² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137804911 + ... + 137884758.

Almost surely, 2^{11006634345156} is an apocalyptic number.

It is an amenable number.

11006634345156 is an abundant number, since it is smaller than the sum of its proper divisors (16840779221544).

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

11006634345156 is a wasteful number, since it uses less digits than its factorization.

11006634345156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275690788 (or 275690783 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 11006634345156 in words is "eleven trillion, six billion, six hundred thirty-four million, three hundred forty-five thousand, one hundred fifty-six".