112778678222208 has 2560 divisors, whose sum is σ = 400714684761600. Its totient is φ = 31242470031360.

The previous prime is 112778678222207. The next prime is 112778678222219. The reversal of 112778678222208 is 802222876877211.

It is a happy number.

112778678222208 is a `hidden beast` number, since 1 + 1 + 277 + 8 + 67 + 82 + 2 + 220 + 8 = 666.

It is a super-2 number, since 2×112778678222208² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112778678222207) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 325010599891 + ... + 325010600237.

It is an arithmetic number, because the mean of its divisors is an integer number (156529173735).

Almost surely, 2^{112778678222208} is an apocalyptic number.

112778678222208 is a gapful number since it is divisible by the number (18) 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 112778678222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200357342380800).

112778678222208 is an abundant number, since it is smaller than the sum of its proper divisors (287936006539392).

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

112778678222208 is a wasteful number, since it uses less digits than its factorization.

112778678222208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 112778678222208 in words is "one hundred twelve trillion, seven hundred seventy-eight billion, six hundred seventy-eight million, two hundred twenty-two thousand, two hundred eight".