11006466564021 has 16 divisors (see below), whose sum is σ = 14768617249344. Its totient is φ = 7291128034944.

The previous prime is 11006466563969. The next prime is 11006466564047. The reversal of 11006466564021 is 12046566460011.

It is a happy number.

It is not a de Polignac number, because 11006466564021 - 2⁶ = 11006466563957 is a prime.

It is a super-2 number, since 2×11006466564021² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006466564091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18190471 + ... + 18785796.

It is an arithmetic number, because the mean of its divisors is an integer number (923038578084).

Almost surely, 2^{11006466564021} is an apocalyptic number.

It is an amenable number.

11006466564021 is a deficient number, since it is larger than the sum of its proper divisors (3762150685323).

11006466564021 is a wasteful number, since it uses less digits than its factorization.

11006466564021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36976900.

The product of its (nonzero) digits is 207360, while the sum is 42.

It can be divided in two parts, 1100646 and 6564021, that added together give a palindrome (7664667).

The spelling of 11006466564021 in words is "eleven trillion, six billion, four hundred sixty-six million, five hundred sixty-four thousand, twenty-one".