111625482816 has 63 divisors (see below), whose sum is σ = 319977277113. Its totient is φ = 37205821440.

The previous prime is 111625482797. The next prime is 111625482833. The reversal of 111625482816 is 618284526111.

The square root of 111625482816 is 334104.

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

111625482816 is a `hidden beast` number, since 1 + 1 + 1 + 625 + 4 + 8 + 2 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66205348416 + 45420134400 = 257304^2 + 213120^2 .

It is a super-2 number, since 2×111625482816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8011536 + ... + 8025456.

Almost surely, 2^111625482816 is an apocalyptic number.

111625482816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111625482816 is the 334104-th square number.

It is an amenable number.

111625482816 is an abundant number, since it is smaller than the sum of its proper divisors (208351794297).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111625482816 is an frugal number, since it uses more digits than its factorization.

111625482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27860 (or 13926 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

It can be divided in two parts, 111625 and 482816, that added together give a square (594441 = 771²).

The spelling of 111625482816 in words is "one hundred eleven billion, six hundred twenty-five million, four hundred eighty-two thousand, eight hundred sixteen".