111948000076 has 96 divisors (see below), whose sum is σ = 229492811520. Its totient is φ = 47243347200.

The previous prime is 111948000053. The next prime is 111948000083. The reversal of 111948000076 is 670000849111.

111948000076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

111948000076 is a nontrivial binomial coefficient, being equal to C(473177, 2).

It is a super-3 number, since 3×111948000076³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111947999999 and 111948000044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14427990 + ... + 14435746.

It is an arithmetic number, because the mean of its divisors is an integer number (2390550120).

Almost surely, 2^111948000076 is an apocalyptic number.

111948000076 is the 473176-th triangular number.

111948000076 is the 157726-th centered nonagonal number.

It is an amenable number.

111948000076 is an abundant number, since it is smaller than the sum of its proper divisors (117544811444).

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

111948000076 is a wasteful number, since it uses less digits than its factorization.

111948000076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

Adding to 111948000076 its reverse (670000849111), we get a palindrome (781948849187).

The spelling of 111948000076 in words is "one hundred eleven billion, nine hundred forty-eight million, seventy-six", and thus it is an aban number.