112754711664 has 640 divisors, whose sum is σ = 395974656000. Its totient is φ = 30029294592.

The previous prime is 112754711627. The next prime is 112754711681. The reversal of 112754711664 is 466117457211.

112754711664 is a `hidden beast` number, since 1 + 12 + 7 + 5 + 471 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 811184907 + ... + 811185045.

It is an arithmetic number, because the mean of its divisors is an integer number (618710400).

Almost surely, 2^112754711664 is an apocalyptic number.

112754711664 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 112754711664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328000).

112754711664 is an abundant number, since it is smaller than the sum of its proper divisors (283219944336).

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

112754711664 is a wasteful number, since it uses less digits than its factorization.

112754711664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 112754711664 in words is "one hundred twelve billion, seven hundred fifty-four million, seven hundred eleven thousand, six hundred sixty-four".