112748799744 has 576 divisors, whose sum is σ = 403499335680. Its totient is φ = 30358056960.

The previous prime is 112748799739. The next prime is 112748799749. The reversal of 112748799744 is 447997847211.

112748799744 is a `hidden beast` number, since 1 + 1 + 27 + 487 + 9 + 97 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (112748799739) and next prime (112748799749).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112748799744² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112748799749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79010359 + ... + 79011785.

It is an arithmetic number, because the mean of its divisors is an integer number (700519680).

Almost surely, 2^112748799744 is an apocalyptic number.

112748799744 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 112748799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201749667840).

112748799744 is an abundant number, since it is smaller than the sum of its proper divisors (290750535936).

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

112748799744 is a wasteful number, since it uses less digits than its factorization.

112748799744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1533 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 112748799744 in words is "one hundred twelve billion, seven hundred forty-eight million, seven hundred ninety-nine thousand, seven hundred forty-four".