10144456377 has 16 divisors (see below), whose sum is σ = 14759104512. Its totient is φ = 6146683920.

The previous prime is 10144456373. The next prime is 10144456397. The reversal of 10144456377 is 77365444101.

10144456377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144456377 - 2² = 10144456373 is a prime.

It is a super-2 number, since 2×10144456377² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144456373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112188 + ... + 181314.

It is an arithmetic number, because the mean of its divisors is an integer number (922444032).

Almost surely, 2^10144456377 is an apocalyptic number.

It is an amenable number.

10144456377 is a deficient number, since it is larger than the sum of its proper divisors (4614648135).

10144456377 is a wasteful number, since it uses less digits than its factorization.

10144456377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73588.

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 10144456377 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, three hundred seventy-seven".