111954238590649 has 27 divisors (see below), whose sum is σ = 141022184082093. Its totient is φ = 88578415965312.

The previous prime is 111954238590643. The next prime is 111954238590661. The reversal of 111954238590649 is 946095832459111.

The square root of 111954238590649 is 10580843.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 876550955049 + 111077687635600 = 936243^2 + 10539340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-111954238590649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111954238590643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 962798577 + ... + 962914849.

Almost surely, 2^{111954238590649} is an apocalyptic number.

111954238590649 is the 10580843-rd square number.

111954238590649 is the 5290422-nd centered octagonal number.

It is an amenable number.

111954238590649 is a deficient number, since it is larger than the sum of its proper divisors (29067945491444).

111954238590649 is an frugal number, since it uses more digits than its factorization.

111954238590649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232586 (or 116293 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 67.

The spelling of 111954238590649 in words is "one hundred eleven trillion, nine hundred fifty-four billion, two hundred thirty-eight million, five hundred ninety thousand, six hundred forty-nine".