114132033443010 has 192 divisors, whose sum is σ = 302108669960832. Its totient is φ = 27574107264000.

The previous prime is 114132033443009. The next prime is 114132033443011. The reversal of 114132033443010 is 10344330231411.

It is an interprime number because it is at equal distance from previous prime (114132033443009) and next prime (114132033443011).

It is a super-2 number, since 2×114132033443010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114132033443011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3360662430 + ... + 3360696390.

It is an arithmetic number, because the mean of its divisors is an integer number (1573482656046).

Almost surely, 2^{114132033443010} is an apocalyptic number.

114132033443010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114132033443010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151054334980416).

114132033443010 is an abundant number, since it is smaller than the sum of its proper divisors (187976636517822).

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

114132033443010 is a wasteful number, since it uses less digits than its factorization.

114132033443010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37121 (or 37110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 114132033443010 its reverse (10344330231411), we get a palindrome (124476363674421).

The spelling of 114132033443010 in words is "one hundred fourteen trillion, one hundred thirty-two billion, thirty-three million, four hundred forty-three thousand, ten".