112646628200448 has 312 divisors, whose sum is σ = 339989867148672. Its totient is φ = 35867776057344.

The previous prime is 112646628200437. The next prime is 112646628200521. The reversal of 112646628200448 is 844002826646211.

112646628200448 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 6 + 628 + 2 + 0 + 0 + 4 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112646628200394 and 112646628200403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 629879490 + ... + 630058302.

It is an arithmetic number, because the mean of its divisors is an integer number (1089711112656).

Almost surely, 2^{112646628200448} is an apocalyptic number.

112646628200448 is a gapful number since it is divisible by the number (18) 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 112646628200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169994933574336).

112646628200448 is an abundant number, since it is smaller than the sum of its proper divisors (227343238948224).

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

112646628200448 is a wasteful number, since it uses less digits than its factorization.

112646628200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179609 (or 179584 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 112646628200448 in words is "one hundred twelve trillion, six hundred forty-six billion, six hundred twenty-eight million, two hundred thousand, four hundred forty-eight".