10662384754944 has 1728 divisors, whose sum is σ = 37648070369280. Its totient is φ = 2956363038720.

The previous prime is 10662384754811. The next prime is 10662384754949. The reversal of 10662384754944 is 44945748326601.

10662384754944 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 3 + 8 + 47 + 549 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10662384754944² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10662384754949) 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 191 ways as a sum of consecutive naturals, for example, 83955785409 + ... + 83955785535.

It is an arithmetic number, because the mean of its divisors is an integer number (21787077760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10662384754944 = 21324769509888, but 3⋅10662384754944 = 31987154264832 is not.

Almost surely, 2^{10662384754944} 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 10662384754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824035184640).

10662384754944 is an abundant number, since it is smaller than the sum of its proper divisors (26985685614336).

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

10662384754944 is a wasteful number, since it uses less digits than its factorization.

10662384754944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 10662384754944 in words is "ten trillion, six hundred sixty-two billion, three hundred eighty-four million, seven hundred fifty-four thousand, nine hundred forty-four".