111151454179921 has 27 divisors (see below), whose sum is σ = 118549786346257. Its totient is φ = 104193612696320.

The previous prime is 111151454179879. The next prime is 111151454179937. The reversal of 111151454179921 is 129971454151111.

The square root of 111151454179921 is 10542839.

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 23254529067025 + 87896925112896 = 4822295^2 + 9375336^2 .

It is not a de Polignac number, because 111151454179921 - 2⁷ = 111151454179793 is a prime.

It is a super-2 number, since 2×111151454179921² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111151454179951) 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, 50363140800 + ... + 50363143006.

Almost surely, 2^{111151454179921} is an apocalyptic number.

111151454179921 is the 10542839-th square number.

111151454179921 is the 5271420-th centered octagonal number.

It is an amenable number.

111151454179921 is a deficient number, since it is larger than the sum of its proper divisors (7398332166336).

111151454179921 is an frugal number, since it uses more digits than its factorization.

111151454179921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 2505 counting only the distinct ones).

The product of its digits is 453600, while the sum is 52.

The spelling of 111151454179921 in words is "one hundred eleven trillion, one hundred fifty-one billion, four hundred fifty-four million, one hundred seventy-nine thousand, nine hundred twenty-one".