10067006744341 has 8 divisors (see below), whose sum is σ = 10107215373024. Its totient is φ = 10026798918000.

The previous prime is 10067006744317. The next prime is 10067006744363. The reversal of 10067006744341 is 14344760076001.

10067006744341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10067006744341 - 2¹¹ = 10067006742293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067006747341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48013851 + ... + 48223063.

It is an arithmetic number, because the mean of its divisors is an integer number (1263401921628).

Almost surely, 2^{10067006744341} is an apocalyptic number.

It is an amenable number.

10067006744341 is a deficient number, since it is larger than the sum of its proper divisors (40208628683).

10067006744341 is a wasteful number, since it uses less digits than its factorization.

10067006744341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401171.

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 10067006744341 in words is "ten trillion, sixty-seven billion, six million, seven hundred forty-four thousand, three hundred forty-one".