112904503620480 has 6144 divisors, whose sum is σ = 532979108352000. Its totient is φ = 22267035648000.

The previous prime is 112904503620449. The next prime is 112904503620527. The reversal of 112904503620480 is 84026305409211.

112904503620480 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 0 + 4 + 503 + 62 + 0 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1117866372430 + ... + 1117866372530.

It is an arithmetic number, because the mean of its divisors is an integer number (86747901750).

Almost surely, 2^{112904503620480} is an apocalyptic number.

112904503620480 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 112904503620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266489554176000).

112904503620480 is an abundant number, since it is smaller than the sum of its proper divisors (420074604731520).

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

112904503620480 is a wasteful number, since it uses less digits than its factorization.

112904503620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 112904503620480 in words is "one hundred twelve trillion, nine hundred four billion, five hundred three million, six hundred twenty thousand, four hundred eighty".