10073191145472 has 1344 divisors, whose sum is σ = 39336764673024. Its totient is φ = 2499626926080.

The previous prime is 10073191145447. The next prime is 10073191145477. The reversal of 10073191145472 is 27454119137001.

10073191145472 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 1 + 91 + 14 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10073191145472² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073191145477) 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 95 ways as a sum of consecutive naturals, for example, 3079543197 + ... + 3079546467.

It is an arithmetic number, because the mean of its divisors is an integer number (29268426096).

Almost surely, 2^{10073191145472} is an apocalyptic number.

10073191145472 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 10073191145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668382336512).

10073191145472 is an abundant number, since it is smaller than the sum of its proper divisors (29263573527552).

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

10073191145472 is an equidigital number, since it uses as much as digits as its factorization.

10073191145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10073191145472 in words is "ten trillion, seventy-three billion, one hundred ninety-one million, one hundred forty-five thousand, four hundred seventy-two".