10217231944192 has 640 divisors, whose sum is σ = 27553764446208. Its totient is φ = 3672999198720.

The previous prime is 10217231944169. The next prime is 10217231944193. The reversal of 10217231944192 is 29144913271201.

It is not an unprimeable number, because it can be changed into a prime (10217231944193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23596378408 + ... + 23596378840.

Almost surely, 2^{10217231944192} 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 10217231944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776882223104).

10217231944192 is an abundant number, since it is smaller than the sum of its proper divisors (17336532502016).

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

10217231944192 is an frugal number, since it uses more digits than its factorization.

10217231944192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 10217231944192 in words is "ten trillion, two hundred seventeen billion, two hundred thirty-one million, nine hundred forty-four thousand, one hundred ninety-two".