114771820954752 has 768 divisors, whose sum is σ = 378947971584000. Its totient is φ = 33094028943360.

The previous prime is 114771820954717. The next prime is 114771820954837. The reversal of 114771820954752 is 257459028177411.

114771820954752 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 7 + 1 + 82 + 0 + 9 + 547 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114771820954752.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835172699 + ... + 1835235237.

It is an arithmetic number, because the mean of its divisors is an integer number (493421838000).

Almost surely, 2^{114771820954752} is an apocalyptic number.

114771820954752 is a gapful number since it is divisible by the number (12) 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 114771820954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189473985792000).

114771820954752 is an abundant number, since it is smaller than the sum of its proper divisors (264176150629248).

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

114771820954752 is a wasteful number, since it uses less digits than its factorization.

114771820954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62729 (or 62714 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 114771820954752 in words is "one hundred fourteen trillion, seven hundred seventy-one billion, eight hundred twenty million, nine hundred fifty-four thousand, seven hundred fifty-two".