11006464641004 has 24 divisors (see below), whose sum is σ = 22723023776768. Its totient is φ = 4564893168720.

The previous prime is 11006464641001. The next prime is 11006464641023. The reversal of 11006464641004 is 40014646460011.

It is a super-2 number, since 2×11006464641004² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006464641001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6340128534 + ... + 6340130269.

Almost surely, 2^{11006464641004} is an apocalyptic number.

11006464641004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11006464641004 is an abundant number, since it is smaller than the sum of its proper divisors (11716559135764).

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

11006464641004 is a wasteful number, since it uses less digits than its factorization.

11006464641004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680258845 (or 12680258843 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 11006464641004 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred forty-one thousand, four".