114405066516 has 192 divisors, whose sum is σ = 303658064640. Its totient is φ = 33290403840.

The previous prime is 114405066509. The next prime is 114405066551. The reversal of 114405066516 is 615660504411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27545496 + ... + 27549648.

It is an arithmetic number, because the mean of its divisors is an integer number (1581552420).

Almost surely, 2^114405066516 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 114405066516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151829032320).

114405066516 is an abundant number, since it is smaller than the sum of its proper divisors (189252998124).

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

114405066516 is a wasteful number, since it uses less digits than its factorization.

114405066516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 114405066516 in words is "one hundred fourteen billion, four hundred five million, sixty-six thousand, five hundred sixteen".