10145828412229 has 8 divisors (see below), whose sum is σ = 10223656446080. Its totient is φ = 10068069470976.

The previous prime is 10145828412133. The next prime is 10145828412271. The reversal of 10145828412229 is 92221482854101.

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 10145828412229 - 2³¹ = 10143680928581 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 (10145828412029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16978317 + ... + 17565730.

It is an arithmetic number, because the mean of its divisors is an integer number (1277957055760).

Almost surely, 2^{10145828412229} is an apocalyptic number.

It is an amenable number.

10145828412229 is a deficient number, since it is larger than the sum of its proper divisors (77828033851).

10145828412229 is a wasteful number, since it uses less digits than its factorization.

10145828412229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34546299.

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 10145828412229 in words is "ten trillion, one hundred forty-five billion, eight hundred twenty-eight million, four hundred twelve thousand, two hundred twenty-nine".