114524521126456 has 64 divisors (see below), whose sum is σ = 253328102830080. Its totient is φ = 47498279351040.

The previous prime is 114524521126441. The next prime is 114524521126459. The reversal of 114524521126456 is 654621125425411.

It is a super-3 number, since 3×114524521126456³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114524521126459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435245125 + ... + 435508171.

It is an arithmetic number, because the mean of its divisors is an integer number (3958251606720).

Almost surely, 2^{114524521126456} is an apocalyptic number.

It is an amenable number.

114524521126456 is an abundant number, since it is smaller than the sum of its proper divisors (138803581703624).

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

114524521126456 is a wasteful number, since it uses less digits than its factorization.

114524521126456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513884 (or 513880 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 49.

The spelling of 114524521126456 in words is "one hundred fourteen trillion, five hundred twenty-four billion, five hundred twenty-one million, one hundred twenty-six thousand, four hundred fifty-six".