114506539533504 has 168 divisors, whose sum is σ = 330833733048000. Its totient is φ = 37865012258304.

The previous prime is 114506539533487. The next prime is 114506539533539. The reversal of 114506539533504 is 405335935605411.

114506539533504 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 6 + 53 + 9 + 533 + 50 + 4 = 666.

It is a super-3 number, since 3×114506539533504³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41875287 + ... + 44525865.

It is an arithmetic number, because the mean of its divisors is an integer number (1969248411000).

Almost surely, 2^{114506539533504} 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 114506539533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165416866524000).

114506539533504 is an abundant number, since it is smaller than the sum of its proper divisors (216327193514496).

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

114506539533504 is a wasteful number, since it uses less digits than its factorization.

114506539533504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651195 (or 2651182 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 114506539533504 in words is "one hundred fourteen trillion, five hundred six billion, five hundred thirty-nine million, five hundred thirty-three thousand, five hundred four".