111257867876257 has 16 divisors (see below), whose sum is σ = 116792729614800. Its totient is φ = 105869104054272.

The previous prime is 111257867876251. The next prime is 111257867876279. The reversal of 111257867876257 is 752678768752111.

It can be written as a sum of positive squares in 8 ways, for example, as 5064822266256 + 106193045610001 = 2250516^2 + 10305001^2 .

It is a cyclic number.

It is not a de Polignac number, because 111257867876257 - 2¹⁵ = 111257867843489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111257867876257.

It is not an unprimeable number, because it can be changed into a prime (111257867876251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90017632 + ... + 91245217.

It is an arithmetic number, because the mean of its divisors is an integer number (7299545600925).

Almost surely, 2^{111257867876257} is an apocalyptic number.

It is an amenable number.

111257867876257 is a deficient number, since it is larger than the sum of its proper divisors (5534861738543).

111257867876257 is a wasteful number, since it uses less digits than its factorization.

111257867876257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181263252.

The product of its digits is 553190400, while the sum is 73.

The spelling of 111257867876257 in words is "one hundred eleven trillion, two hundred fifty-seven billion, eight hundred sixty-seven million, eight hundred seventy-six thousand, two hundred fifty-seven".