112509149760 has 336 divisors, whose sum is σ = 468285307776. Its totient is φ = 24203575296.

The previous prime is 112509149729. The next prime is 112509149813. The reversal of 112509149760 is 67941905211.

112509149760 is a `hidden beast` number, since 1 + 12 + 5 + 0 + 91 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178579 + ... + 506861.

Almost surely, 2^112509149760 is an apocalyptic number.

112509149760 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 112509149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234142653888).

112509149760 is an abundant number, since it is smaller than the sum of its proper divisors (355776158016).

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

112509149760 is a wasteful number, since it uses less digits than its factorization.

112509149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328330 (or 328317 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 112509149760 in words is "one hundred twelve billion, five hundred nine million, one hundred forty-nine thousand, seven hundred sixty".