10606399724448 has 384 divisors, whose sum is σ = 35859209379840. Its totient is φ = 3014296104960.

The previous prime is 10606399724441. The next prime is 10606399724477. The reversal of 10606399724448 is 84442799360601.

It is a happy number.

10606399724448 is a `hidden beast` number, since 1 + 0 + 60 + 63 + 9 + 9 + 72 + 4 + 448 = 666.

It is a super-2 number, since 2×10606399724448² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606399724441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45607761 + ... + 45839727.

It is an arithmetic number, because the mean of its divisors is an integer number (93383357760).

Almost surely, 2^{10606399724448} is an apocalyptic number.

10606399724448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10606399724448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929604689920).

10606399724448 is an abundant number, since it is smaller than the sum of its proper divisors (25252809655392).

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

10606399724448 is a wasteful number, since it uses less digits than its factorization.

10606399724448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232297 (or 232283 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 10606399724448 in words is "ten trillion, six hundred six billion, three hundred ninety-nine million, seven hundred twenty-four thousand, four hundred forty-eight".