114413525005312 has 176 divisors, whose sum is σ = 253450051614592. Its totient is φ = 51280692019200.

The previous prime is 114413525005279. The next prime is 114413525005333. The reversal of 114413525005312 is 213500525314411.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257378437 + ... + 257822587.

Almost surely, 2^{114413525005312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114413525005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126725025807296).

114413525005312 is an abundant number, since it is smaller than the sum of its proper divisors (139036526609280).

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

114413525005312 is a wasteful number, since it uses less digits than its factorization.

114413525005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444744 (or 444726 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 114413525005312 in words is "one hundred fourteen trillion, four hundred thirteen billion, five hundred twenty-five million, five thousand, three hundred twelve".