111535292961 has 9 divisors (see below), whose sum is σ = 161107981489. Its totient is φ = 74356194036.

The previous prime is 111535292951. The next prime is 111535293007. The reversal of 111535292961 is 169292535111.

The square root of 111535292961 is 333969.

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

111535292961 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 352 + 9 + 296 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 111535292961 - 2¹⁷ = 111535161889 is a prime.

It is a super-2 number, since 2×111535292961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111535292951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 946246 + ... + 1057568.

Almost surely, 2^111535292961 is an apocalyptic number.

111535292961 is the 333969-th square number.

111535292961 is the 166985-th centered octagonal number.

It is an amenable number.

111535292961 is a deficient number, since it is larger than the sum of its proper divisors (49572688528).

111535292961 is an frugal number, since it uses more digits than its factorization.

111535292961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222652 (or 111326 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

It can be divided in two parts, 111535 and 292961, that added together give a square (404496 = 636²).

The spelling of 111535292961 in words is "one hundred eleven billion, five hundred thirty-five million, two hundred ninety-two thousand, nine hundred sixty-one".