10144097600389 has 2 divisors, whose sum is σ = 10144097600390. Its totient is φ = 10144097600388.

The previous prime is 10144097600359. The next prime is 10144097600423. The reversal of 10144097600389 is 98300679044101.

10144097600389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8384673096900 + 1759424503489 = 2895630^2 + 1326433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10144097600389 is a prime.

It is a super-2 number, since 2×10144097600389² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144097600309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072048800194 + 5072048800195.

It is an arithmetic number, because the mean of its divisors is an integer number (5072048800195).

Almost surely, 2^{10144097600389} is an apocalyptic number.

It is an amenable number.

10144097600389 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144097600389 is an equidigital number, since it uses as much as digits as its factorization.

10144097600389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10144097600389 in words is "ten trillion, one hundred forty-four billion, ninety-seven million, six hundred thousand, three hundred eighty-nine".