112514354544240 has 240 divisors, whose sum is σ = 412388435852640. Its totient is φ = 27264511211520.

The previous prime is 112514354544203. The next prime is 112514354544313. The reversal of 112514354544240 is 42445453415211.

112514354544240 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 1 + 4 + 354 + 54 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15432706 + ... + 21522014.

It is an arithmetic number, because the mean of its divisors is an integer number (1718285149386).

Almost surely, 2^{112514354544240} is an apocalyptic number.

112514354544240 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 112514354544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206194217926320).

112514354544240 is an abundant number, since it is smaller than the sum of its proper divisors (299874081308400).

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

112514354544240 is a wasteful number, since it uses less digits than its factorization.

112514354544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091672 (or 6091663 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 112514354544240 in words is "one hundred twelve trillion, five hundred fourteen billion, three hundred fifty-four million, five hundred forty-four thousand, two hundred forty".