112063276454400 has 720 divisors, whose sum is σ = 407106204785280. Its totient is φ = 29432645222400.

The previous prime is 112063276454369. The next prime is 112063276454407. The reversal of 112063276454400 is 4454672360211.

112063276454400 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 32 + 76 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112063276454407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8694483156 + ... + 8694496044.

It is an arithmetic number, because the mean of its divisors is an integer number (565425284424).

Almost surely, 2^{112063276454400} is an apocalyptic number.

112063276454400 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 112063276454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203553102392640).

112063276454400 is an abundant number, since it is smaller than the sum of its proper divisors (295042928330880).

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

112063276454400 is a wasteful number, since it uses less digits than its factorization.

112063276454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14057 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 112063276454400 in words is "one hundred twelve trillion, sixty-three billion, two hundred seventy-six million, four hundred fifty-four thousand, four hundred".