10664132341104 has 480 divisors, whose sum is σ = 34760889446400. Its totient is φ = 3017881152000.

The previous prime is 10664132341097. The next prime is 10664132341127. The reversal of 10664132341104 is 40114323146601.

10664132341104 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 413 + 234 + 1 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×10664132341104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642907299 + ... + 1642913789.

It is an arithmetic number, because the mean of its divisors is an integer number (72418519680).

Almost surely, 2^{10664132341104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664132341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380444723200).

10664132341104 is an abundant number, since it is smaller than the sum of its proper divisors (24096757105296).

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

10664132341104 is a wasteful number, since it uses less digits than its factorization.

10664132341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10664132341104 its reverse (40114323146601), we get a palindrome (50778455487705).

The spelling of 10664132341104 in words is "ten trillion, six hundred sixty-four billion, one hundred thirty-two million, three hundred forty-one thousand, one hundred four".