112614257340 has 192 divisors, whose sum is σ = 378124830720. Its totient is φ = 27660268800.

The previous prime is 112614257339. The next prime is 112614257341. The reversal of 112614257340 is 43752416211.

112614257340 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 42 + 573 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (112614257339) and next prime (112614257341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112614257295 and 112614257304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112614257341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3261165 + ... + 3295515.

It is an arithmetic number, because the mean of its divisors is an integer number (1969400160).

Almost surely, 2^112614257340 is an apocalyptic number.

112614257340 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 112614257340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189062415360).

112614257340 is an abundant number, since it is smaller than the sum of its proper divisors (265510573380).

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

112614257340 is a wasteful number, since it uses less digits than its factorization.

112614257340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34849 (or 34841 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 112614257340 in words is "one hundred twelve billion, six hundred fourteen million, two hundred fifty-seven thousand, three hundred forty".