111894697524841 has 81 divisors (see below), whose sum is σ = 152001835266981. Its totient is φ = 82051655347200.

The previous prime is 111894697524833. The next prime is 111894697524881. The reversal of 111894697524841 is 148425796498111.

The square root of 111894697524841 is 10578029.

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 1986647965225 + 109908049559616 = 1409485^2 + 10483704^2 .

It is not a de Polignac number, because 111894697524841 - 2³ = 111894697524833 is a prime.

It is a super-2 number, since 2×111894697524841² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111894697524881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13846635921 + ... + 13846644001.

Almost surely, 2^{111894697524841} is an apocalyptic number.

111894697524841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111894697524841 is the 10578029-th square number.

111894697524841 is the 5289015-th centered octagonal number.

It is an amenable number.

111894697524841 is a deficient number, since it is larger than the sum of its proper divisors (40107137742140).

111894697524841 is an frugal number, since it uses more digits than its factorization.

111894697524841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232 (or 8116 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 70.

The spelling of 111894697524841 in words is "one hundred eleven trillion, eight hundred ninety-four billion, six hundred ninety-seven million, five hundred twenty-four thousand, eight hundred forty-one".