111768948720 has 1440 divisors, whose sum is σ = 476525125440. Its totient is φ = 23275929600.

The previous prime is 111768948713. The next prime is 111768948751. The reversal of 111768948720 is 27849867111.

111768948720 is a `hidden beast` number, since 1 + 11 + 76 + 89 + 487 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1346613799 + ... + 1346613881.

It is an arithmetic number, because the mean of its divisors is an integer number (330920226).

Almost surely, 2^111768948720 is an apocalyptic number.

111768948720 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 111768948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238262562720).

111768948720 is an abundant number, since it is smaller than the sum of its proper divisors (364756176720).

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

111768948720 is a wasteful number, since it uses less digits than its factorization.

111768948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 111768948720 in words is "one hundred eleven billion, seven hundred sixty-eight million, nine hundred forty-eight thousand, seven hundred twenty".