111978385376256 has 1485 divisors, whose sum is σ = 405097319897127. Its totient is φ = 30719922831360.

The previous prime is 111978385376219. The next prime is 111978385376267. The reversal of 111978385376256 is 652673583879111.

The square root of 111978385376256 is 10581984.

It is a perfect power (a square), and thus also a powerful number.

111978385376256 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 7 + 8 + 38 + 537 + 6 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41643996742656 + 70334388633600 = 6453216^2 + 8386560^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 618665112486 + ... + 618665112666.

Almost surely, 2^{111978385376256} is an apocalyptic number.

111978385376256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111978385376256 is the 10581984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111978385376256

111978385376256 is an abundant number, since it is smaller than the sum of its proper divisors (293118934520871).

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

111978385376256 is an frugal number, since it uses more digits than its factorization.

111978385376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 222 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 111978385376256 in words is "one hundred eleven trillion, nine hundred seventy-eight billion, three hundred eighty-five million, three hundred seventy-six thousand, two hundred fifty-six".