10145562666321 has 8 divisors (see below), whose sum is σ = 13527432828000. Its totient is φ = 6763700474432.

The previous prime is 10145562666311. The next prime is 10145562666331. The reversal of 10145562666321 is 12366626554101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10145562666311) and next prime (10145562666331).

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 10145562666321 - 2³⁵ = 10111202927953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10145562666311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2297305 + ... + 5056553.

It is an arithmetic number, because the mean of its divisors is an integer number (1690929103500).

Almost surely, 2^{10145562666321} is an apocalyptic number.

It is an amenable number.

10145562666321 is a deficient number, since it is larger than the sum of its proper divisors (3381870161679).

10145562666321 is a wasteful number, since it uses less digits than its factorization.

10145562666321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984895.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 10145562666321 in words is "ten trillion, one hundred forty-five billion, five hundred sixty-two million, six hundred sixty-six thousand, three hundred twenty-one".