112225985564 has 288 divisors, whose sum is σ = 261431235072. Its totient is φ = 42005779200.

The previous prime is 112225985551. The next prime is 112225985581. The reversal of 112225985564 is 465589522211.

It is a super-2 number, since 2×112225985564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1352120267 + ... + 1352120349.

It is an arithmetic number, because the mean of its divisors is an integer number (907747344).

Almost surely, 2^112225985564 is an apocalyptic number.

112225985564 is a gapful number since it is divisible by the number (14) 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 112225985564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130715617536).

112225985564 is an abundant number, since it is smaller than the sum of its proper divisors (149205249508).

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

112225985564 is a wasteful number, since it uses less digits than its factorization.

112225985564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 247 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 50.

The spelling of 112225985564 in words is "one hundred twelve billion, two hundred twenty-five million, nine hundred eighty-five thousand, five hundred sixty-four".