111013856640 has 640 divisors, whose sum is σ = 427650300000. Its totient is φ = 27351613440.

The previous prime is 111013856627. The next prime is 111013856647. The reversal of 111013856640 is 46658310111.

It is a happy number.

111013856640 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 3 + 8 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111013856595 and 111013856604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013856647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40381986 + ... + 40384734.

Almost surely, 2^111013856640 is an apocalyptic number.

111013856640 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 111013856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213825150000).

111013856640 is an abundant number, since it is smaller than the sum of its proper divisors (316636443360).

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

111013856640 is a wasteful number, since it uses less digits than its factorization.

111013856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 111013856640 in words is "one hundred eleven billion, thirteen million, eight hundred fifty-six thousand, six hundred forty".