112008495144 has 192 divisors, whose sum is σ = 351113616000. Its totient is φ = 29513949696.

The previous prime is 112008495139. The next prime is 112008495191. The reversal of 112008495144 is 441594800211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21385294 + ... + 21390530.

It is an arithmetic number, because the mean of its divisors is an integer number (1828716750).

Almost surely, 2^112008495144 is an apocalyptic number.

112008495144 is a gapful number since it is divisible by the number (14) 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 112008495144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175556808000).

112008495144 is an abundant number, since it is smaller than the sum of its proper divisors (239105120856).

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

112008495144 is a wasteful number, since it uses less digits than its factorization.

112008495144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 112008495144 in words is "one hundred twelve billion, eight million, four hundred ninety-five thousand, one hundred forty-four".