10144456257 has 32 divisors (see below), whose sum is σ = 15431931648. Its totient is φ = 5872214016.

The previous prime is 10144456243. The next prime is 10144456279. The reversal of 10144456257 is 75265444101.

It is not a de Polignac number, because 10144456257 - 2¹² = 10144452161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10144456297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656433 + ... + 1662545.

It is an arithmetic number, because the mean of its divisors is an integer number (482247864).

Almost surely, 2^10144456257 is an apocalyptic number.

10144456257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10144456257 is a deficient number, since it is larger than the sum of its proper divisors (5287475391).

10144456257 is a wasteful number, since it uses less digits than its factorization.

10144456257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649.

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 10144456257 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred fifty-seven".