114848532743760 has 1920 divisors, whose sum is σ = 438545891266560. Its totient is φ = 27557230288896.

The previous prime is 114848532743687. The next prime is 114848532743779. The reversal of 114848532743760 is 67347235848411.

114848532743760 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 8 + 532 + 7 + 4 + 37 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 505940672767 + ... + 505940672993.

It is an arithmetic number, because the mean of its divisors is an integer number (228409318368).

Almost surely, 2^{114848532743760} is an apocalyptic number.

114848532743760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114848532743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219272945633280).

114848532743760 is an abundant number, since it is smaller than the sum of its proper divisors (323697358522800).

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

114848532743760 is a wasteful number, since it uses less digits than its factorization.

114848532743760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 114848532743760 in words is "one hundred fourteen trillion, eight hundred forty-eight billion, five hundred thirty-two million, seven hundred forty-three thousand, seven hundred sixty".