112568361984 has 1056 divisors, whose sum is σ = 405577186560. Its totient is φ = 30831280128.

The previous prime is 112568361953. The next prime is 112568362033. The reversal of 112568361984 is 489163865211.

It is a happy number.

112568361984 is a `hidden beast` number, since 1 + 12 + 5 + 6 + 8 + 3 + 619 + 8 + 4 = 666.

It is a super-2 number, since 2×112568361984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112568361984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1264813012 + ... + 1264813100.

Almost surely, 2^112568361984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112568361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202788593280).

112568361984 is an abundant number, since it is smaller than the sum of its proper divisors (293008824576).

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

112568361984 is a wasteful number, since it uses less digits than its factorization.

112568361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

It can be divided in two parts, 112568 and 361984, that added together give a cube (474552 = 78³).

The spelling of 112568361984 in words is "one hundred twelve billion, five hundred sixty-eight million, three hundred sixty-one thousand, nine hundred eighty-four".