114236443541024 has 192 divisors, whose sum is σ = 282485503641600. Its totient is φ = 44339656255488.

The previous prime is 114236443541023. The next prime is 114236443541089. The reversal of 114236443541024 is 420145344632411.

It is a Cunningham number, because it is equal to 10688145²-1.

It is not an unprimeable number, because it can be changed into a prime (114236443541023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170676332 + ... + 171344340.

It is an arithmetic number, because the mean of its divisors is an integer number (1471278664800).

Almost surely, 2^{114236443541024} is an apocalyptic number.

114236443541024 is a gapful number since it is divisible by the number (14) 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 114236443541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141242751820800).

114236443541024 is an abundant number, since it is smaller than the sum of its proper divisors (168249060100576).

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

114236443541024 is a wasteful number, since it uses less digits than its factorization.

114236443541024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669815 (or 669807 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 114236443541024 in words is "one hundred fourteen trillion, two hundred thirty-six billion, four hundred forty-three million, five hundred forty-one thousand, twenty-four".