111111948668160 has 4608 divisors, whose sum is σ = 495744709017600. Its totient is φ = 23226231029760.

The previous prime is 111111948668153. The next prime is 111111948668167. The reversal of 111111948668160 is 61866849111111.

111111948668160 is a `hidden beast` number, since 1 + 1 + 1 + 11 + 19 + 486 + 6 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (111111948668153) and next prime (111111948668167).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 111111948668097 and 111111948668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111948668167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 489479949967 + ... + 489479950193.

It is an arithmetic number, because the mean of its divisors is an integer number (107583487200).

Almost surely, 2^{111111948668160} is an apocalyptic number.

111111948668160 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 111111948668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247872354508800).

111111948668160 is an abundant number, since it is smaller than the sum of its proper divisors (384632760349440).

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

111111948668160 is a wasteful number, since it uses less digits than its factorization.

111111948668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 111111948668160 in words is "one hundred eleven trillion, one hundred eleven billion, nine hundred forty-eight million, six hundred sixty-eight thousand, one hundred sixty".