10250967146112 has 3072 divisors, whose sum is σ = 42626691072000. Its totient is φ = 2379679948800.

The previous prime is 10250967146059. The next prime is 10250967146207. The reversal of 10250967146112 is 21164176905201.

10250967146112 is a `hidden beast` number, since 1 + 0 + 2 + 509 + 6 + 71 + 4 + 61 + 12 = 666.

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 383 ways as a sum of consecutive naturals, for example, 330676359537 + ... + 330676359567.

It is an arithmetic number, because the mean of its divisors is an integer number (13875876000).

Almost surely, 2^{10250967146112} is an apocalyptic number.

10250967146112 is a gapful number since it is divisible by the number (12) 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 10250967146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313345536000).

10250967146112 is an abundant number, since it is smaller than the sum of its proper divisors (32375723925888).

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

10250967146112 is an equidigital number, since it uses as much as digits as its factorization.

10250967146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10250967146112 in words is "ten trillion, two hundred fifty billion, nine hundred sixty-seven million, one hundred forty-six thousand, one hundred twelve".