9138664259712 has 640 divisors, whose sum is σ = 29949395876400. Its totient is φ = 2765379502080.

The previous prime is 9138664259687. The next prime is 9138664259749. The reversal of 9138664259712 is 2179524668319.

9138664259712 is a `hidden beast` number, since 9 + 1 + 38 + 6 + 6 + 4 + 2 + 597 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 209229397056 + 8929434862656 = 457416^2 + 2988216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9138664259712.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1389484968 + ... + 1389491544.

Almost surely, 2^{9138664259712} 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 9138664259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974697938200).

9138664259712 is an abundant number, since it is smaller than the sum of its proper divisors (20810731616688).

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

9138664259712 is an equidigital number, since it uses as much as digits as its factorization.

9138664259712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6656 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 9138664259712 in words is "nine trillion, one hundred thirty-eight billion, six hundred sixty-four million, two hundred fifty-nine thousand, seven hundred twelve".