11006634344655 has 32 divisors (see below), whose sum is σ = 17619077361600. Its totient is φ = 5867384778752.

The previous prime is 11006634344647. The next prime is 11006634344663. The reversal of 11006634344655 is 55644343660011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11006634344647) and next prime (11006634344663).

It is a cyclic number.

It is not a de Polignac number, because 11006634344655 - 2³ = 11006634344647 is a prime.

It is a super-2 number, since 2×11006634344655² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459420937 + ... + 459444893.

It is an arithmetic number, because the mean of its divisors is an integer number (550596167550).

Almost surely, 2^{11006634344655} is an apocalyptic number.

11006634344655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11006634344655 is a deficient number, since it is larger than the sum of its proper divisors (6612443016945).

11006634344655 is a wasteful number, since it uses less digits than its factorization.

11006634344655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37403.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 11006634344655 in words is "eleven trillion, six billion, six hundred thirty-four million, three hundred forty-four thousand, six hundred fifty-five".