114886121472 has 192 divisors, whose sum is σ = 340985080800. Its totient is φ = 38220595200.

The previous prime is 114886121459. The next prime is 114886121473. The reversal of 114886121472 is 274121688411.

114886121472 is a `hidden beast` number, since 1 + 1 + 488 + 6 + 121 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114886121473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33231168 + ... + 33234624.

Almost surely, 2^114886121472 is an apocalyptic number.

114886121472 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 114886121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170492540400).

114886121472 is an abundant number, since it is smaller than the sum of its proper divisors (226098959328).

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

114886121472 is an equidigital number, since it uses as much as digits as its factorization.

114886121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4063 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 114886121472 in words is "one hundred fourteen billion, eight hundred eighty-six million, one hundred twenty-one thousand, four hundred seventy-two".