10144385361 has 48 divisors (see below), whose sum is σ = 16840923840. Its totient is φ = 5819506560.

The previous prime is 10144385351. The next prime is 10144385369. The reversal of 10144385361 is 16358344101.

10144385361 is a `hidden beast` number, since 101 + 443 + 8 + 53 + 61 = 666.

It is not a de Polignac number, because 10144385361 - 2⁶ = 10144385297 is a prime.

It is a super-2 number, since 2×10144385361² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144385369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4161435 + ... + 4163871.

It is an arithmetic number, because the mean of its divisors is an integer number (350852580).

Almost surely, 2^10144385361 is an apocalyptic number.

10144385361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10144385361 is a deficient number, since it is larger than the sum of its proper divisors (6696538479).

10144385361 is a wasteful number, since it uses less digits than its factorization.

10144385361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10144385361 in words is "ten billion, one hundred forty-four million, three hundred eighty-five thousand, three hundred sixty-one".