111457981229056 has 1536 divisors, whose sum is σ = 306641147904000. Its totient is φ = 40391118028800.

The previous prime is 111457981229053. The next prime is 111457981229167. The reversal of 111457981229056 is 650922189754111.

It is a super-2 number, since 2×111457981229056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111457981228985 and 111457981229003.

It is not an unprimeable number, because it can be changed into a prime (111457981229053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1526821660636 + ... + 1526821660708.

It is an arithmetic number, because the mean of its divisors is an integer number (199636164000).

Almost surely, 2^{111457981229056} is an apocalyptic number.

111457981229056 is a gapful number since it is divisible by the number (16) 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 111457981229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153320573952000).

111457981229056 is an abundant number, since it is smaller than the sum of its proper divisors (195183166674944).

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

111457981229056 is an frugal number, since it uses more digits than its factorization.

111457981229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 61.

The spelling of 111457981229056 in words is "one hundred eleven trillion, four hundred fifty-seven billion, nine hundred eighty-one million, two hundred twenty-nine thousand, fifty-six".