112753714062400 has 336 divisors, whose sum is σ = 294342781392000. Its totient is φ = 42438491504640.

The previous prime is 112753714062349. The next prime is 112753714062401. The reversal of 112753714062400 is 4260417357211.

It is a super-2 number, since 2×112753714062400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (112753714062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895781869 + ... + 895907731.

Almost surely, 2^{112753714062400} is an apocalyptic number.

112753714062400 is a gapful number since it is divisible by the number (10) 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 112753714062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147171390696000).

112753714062400 is an abundant number, since it is smaller than the sum of its proper divisors (181589067329600).

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

112753714062400 is a wasteful number, since it uses less digits than its factorization.

112753714062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126406 (or 126391 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 112753714062400 in words is "one hundred twelve trillion, seven hundred fifty-three billion, seven hundred fourteen million, sixty-two thousand, four hundred".