111186485460 has 480 divisors, whose sum is σ = 385428637440. Its totient is φ = 26734675968.

The previous prime is 111186485429. The next prime is 111186485479. The reversal of 111186485460 is 64584681111.

111186485460 is a `hidden beast` number, since 1 + 1 + 1 + 186 + 4 + 8 + 5 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46462024 + ... + 46464416.

It is an arithmetic number, because the mean of its divisors is an integer number (802976328).

Almost surely, 2^111186485460 is an apocalyptic number.

111186485460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111186485460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192714318720).

111186485460 is an abundant number, since it is smaller than the sum of its proper divisors (274242151980).

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

111186485460 is a wasteful number, since it uses less digits than its factorization.

111186485460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2498 counting only the distinct ones).

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

The spelling of 111186485460 in words is "one hundred eleven billion, one hundred eighty-six million, four hundred eighty-five thousand, four hundred sixty".