10066964431104 has 1215 divisors, whose sum is σ = 36247505937279. Its totient is φ = 2686513858560.

The previous prime is 10066964431093. The next prime is 10066964431127. The reversal of 10066964431104 is 40113446966001.

The square root of 10066964431104 is 3172848.

It is a perfect power (a square), and thus also a powerful number.

10066964431104 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 96 + 443 + 110 + 4 = 666.

It is a super-2 number, since 2×10066964431104² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10066964431104.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 141788231389 + ... + 141788231459.

Almost surely, 2^{10066964431104} is an apocalyptic number.

10066964431104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10066964431104 is the 3172848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066964431104

10066964431104 is an abundant number, since it is smaller than the sum of its proper divisors (26180541506175).

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

10066964431104 is an frugal number, since it uses more digits than its factorization.

10066964431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10066964431104 in words is "ten trillion, sixty-six billion, nine hundred sixty-four million, four hundred thirty-one thousand, one hundred four".