11006464641020 has 24 divisors (see below), whose sum is σ = 23113669632144. Its totient is φ = 4402567973376.

The previous prime is 11006464641001. The next prime is 11006464641023. The reversal of 11006464641020 is 2014646460011.

It is a super-2 number, since 2×11006464641020² (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 (11006464641023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4656812 + ... + 6610508.

It is an arithmetic number, because the mean of its divisors is an integer number (963069568006).

Almost surely, 2^{11006464641020} is an apocalyptic number.

11006464641020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006464641020 is an abundant number, since it is smaller than the sum of its proper divisors (12107204991124).

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

11006464641020 is a wasteful number, since it uses less digits than its factorization.

11006464641020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235389 (or 2235387 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 11006464641020 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred forty-one thousand, twenty".