111648654720 has 512 divisors, whose sum is σ = 412086528000. Its totient is φ = 28543795200.

The previous prime is 111648654713. The next prime is 111648654721. The reversal of 111648654720 is 27456846111.

111648654720 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 4 + 86 + 547 + 20 = 666.

111648654720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111648654721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 41798985 + ... + 41801655.

It is an arithmetic number, because the mean of its divisors is an integer number (804856500).

Almost surely, 2^111648654720 is an apocalyptic number.

111648654720 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 111648654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206043264000).

111648654720 is an abundant number, since it is smaller than the sum of its proper divisors (300437873280).

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

111648654720 is a wasteful number, since it uses less digits than its factorization.

111648654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 111648654720 in words is "one hundred eleven billion, six hundred forty-eight million, six hundred fifty-four thousand, seven hundred twenty".