10144564046006 has 192 divisors, whose sum is σ = 18106265560320. Its totient is φ = 4233468395520.

The previous prime is 10144564045919. The next prime is 10144564046009. The reversal of 10144564046006 is 60064046544101.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144564046009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3435340226 + ... + 3435343178.

It is an arithmetic number, because the mean of its divisors is an integer number (94303466460).

Almost surely, 2^{10144564046006} is an apocalyptic number.

10144564046006 is a deficient number, since it is larger than the sum of its proper divisors (7961701514314).

10144564046006 is a wasteful number, since it uses less digits than its factorization.

10144564046006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 10144564046006 in words is "ten trillion, one hundred forty-four billion, five hundred sixty-four million, forty-six thousand, six".