112475510784 has 288 divisors, whose sum is σ = 399821254560. Its totient is φ = 29663428608.

The previous prime is 112475510701. The next prime is 112475510809. The reversal of 112475510784 is 487015574211.

112475510784 is a `hidden beast` number, since 1 + 1 + 24 + 7 + 551 + 0 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112475510784² (a number of 23 digits) contains 22 as substring.

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, 1643784 + ... + 1710840.

It is an arithmetic number, because the mean of its divisors is an integer number (1388268245).

Almost surely, 2^112475510784 is an apocalyptic number.

112475510784 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 112475510784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199910627280).

112475510784 is an abundant number, since it is smaller than the sum of its proper divisors (287345743776).

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

112475510784 is a wasteful number, since it uses less digits than its factorization.

112475510784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67105 (or 67082 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 112475510784 in words is "one hundred twelve billion, four hundred seventy-five million, five hundred ten thousand, seven hundred eighty-four".