112789729152 has 192 divisors, whose sum is σ = 338857974000. Its totient is φ = 37342715904.

The previous prime is 112789729121. The next prime is 112789729177. The reversal of 112789729152 is 251927987211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×112789729152³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4622328 + ... + 4646664.

Almost surely, 2^112789729152 is an apocalyptic number.

112789729152 is a gapful number since it is divisible by the number (12) 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 112789729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169428987000).

112789729152 is an abundant number, since it is smaller than the sum of its proper divisors (226068244848).

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

112789729152 is an equidigital number, since it uses as much as digits as its factorization.

112789729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24515 (or 24491 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 112789729152 in words is "one hundred twelve billion, seven hundred eighty-nine million, seven hundred twenty-nine thousand, one hundred fifty-two".