114241056458532 has 192 divisors, whose sum is σ = 286014477745920. Its totient is φ = 35384579260416.

The previous prime is 114241056458497. The next prime is 114241056458603. The reversal of 114241056458532 is 235854650142411.

It is a super-2 number, since 2×114241056458532² (a number of 29 digits) contains 22 as substring.

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, 12454051498 + ... + 12454060670.

It is an arithmetic number, because the mean of its divisors is an integer number (1489658738260).

Almost surely, 2^{114241056458532} is an apocalyptic number.

114241056458532 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 114241056458532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143007238872960).

114241056458532 is an abundant number, since it is smaller than the sum of its proper divisors (171773421287388).

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

114241056458532 is a wasteful number, since it uses less digits than its factorization.

114241056458532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13342 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 114241056458532 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-six million, four hundred fifty-eight thousand, five hundred thirty-two".