114240015524512 has 96 divisors (see below), whose sum is σ = 229567490712000. Its totient is φ = 55944373094400.

The previous prime is 114240015524443. The next prime is 114240015524581. The reversal of 114240015524512 is 215425510042411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114240015524443) and next prime (114240015524581).

It is a super-2 number, since 2×114240015524512² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6987576114 + ... + 6987592462.

It is an arithmetic number, because the mean of its divisors is an integer number (2391328028250).

Almost surely, 2^{114240015524512} 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 114240015524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114783745356000).

114240015524512 is an abundant number, since it is smaller than the sum of its proper divisors (115327475187488).

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

114240015524512 is a wasteful number, since it uses less digits than its factorization.

114240015524512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29870 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

Adding to 114240015524512 its reverse (215425510042411), we get a palindrome (329665525566923).

The spelling of 114240015524512 in words is "one hundred fourteen trillion, two hundred forty billion, fifteen million, five hundred twenty-four thousand, five hundred twelve".