112485562746480 has 720 divisors, whose sum is σ = 479886192175104. Its totient is φ = 23349374254080.

The previous prime is 112485562746461. The next prime is 112485562746511. The reversal of 112485562746480 is 84647265584211.

112485562746480 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 8 + 5 + 562 + 7 + 4 + 64 + 8 + 0 = 666.

112485562746480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375123489 + ... + 375423231.

Almost surely, 2^{112485562746480} is an apocalyptic number.

112485562746480 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 112485562746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239943096087552).

112485562746480 is an abundant number, since it is smaller than the sum of its proper divisors (367400629428624).

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

112485562746480 is a wasteful number, since it uses less digits than its factorization.

112485562746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300754 (or 300738 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 112485562746480 in words is "one hundred twelve trillion, four hundred eighty-five billion, five hundred sixty-two million, seven hundred forty-six thousand, four hundred eighty".