10111601457 has 6 divisors (see below), whose sum is σ = 14605646562. Its totient is φ = 6741067632.

The previous prime is 10111601447. The next prime is 10111601491. The reversal of 10111601457 is 75410611101.

10111601457 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 601 + 4 + 57 = 666.

10111601457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8489042496 + 1622558961 = 92136^2 + 40281^2 .

It is not a de Polignac number, because 10111601457 - 2⁴ = 10111601441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111601457.

It is not an unprimeable number, because it can be changed into a prime (10111601447) 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 5 ways as a sum of consecutive naturals, for example, 561755628 + ... + 561755645.

It is an arithmetic number, because the mean of its divisors is an integer number (2434274427).

Almost surely, 2^10111601457 is an apocalyptic number.

It is an amenable number.

10111601457 is a deficient number, since it is larger than the sum of its proper divisors (4494045105).

10111601457 is a wasteful number, since it uses less digits than its factorization.

10111601457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123511279 (or 1123511276 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10111601457 in words is "ten billion, one hundred eleven million, six hundred one thousand, four hundred fifty-seven".