111992459857201 has 27 divisors (see below), whose sum is σ = 143198012431467. Its totient is φ = 87266216877840.

The previous prime is 111992459857199. The next prime is 111992459857249. The reversal of 111992459857201 is 102758954299111.

The square root of 111992459857201 is 10582649.

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

It can be written as a sum of positive squares in only one way, i.e., 100933669230625 + 11058790626576 = 10046575^2 + 3325476^2 .

It is not a de Polignac number, because 111992459857201 - 2¹ = 111992459857199 is a prime.

It is a super-2 number, since 2×111992459857201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111992459857261) 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, 814795255 + ... + 814932691.

Almost surely, 2^{111992459857201} is an apocalyptic number.

111992459857201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111992459857201 is the 10582649-th square number.

111992459857201 is the 5291325-th centered octagonal number.

It is an amenable number.

111992459857201 is a deficient number, since it is larger than the sum of its proper divisors (31205552574266).

111992459857201 is an frugal number, since it uses more digits than its factorization.

111992459857201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274910 (or 137455 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 64.

The spelling of 111992459857201 in words is "one hundred eleven trillion, nine hundred ninety-two billion, four hundred fifty-nine million, eight hundred fifty-seven thousand, two hundred one".