114010434252032 has 72 divisors (see below), whose sum is σ = 232422584284800. Its totient is φ = 55791131082752.

The previous prime is 114010434252019. The next prime is 114010434252047. The reversal of 114010434252032 is 230252434010411.

It is a super-2 number, since 2×114010434252032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114010434252032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842400944 + ... + 842536272.

It is an arithmetic number, because the mean of its divisors is an integer number (3228091448400).

Almost surely, 2^{114010434252032} is an apocalyptic number.

It is an amenable number.

114010434252032 is an abundant number, since it is smaller than the sum of its proper divisors (118412150032768).

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

114010434252032 is an equidigital number, since it uses as much as digits as its factorization.

114010434252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205411 (or 205397 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 114010434252032 its reverse (230252434010411), we get a palindrome (344262868262443).

The spelling of 114010434252032 in words is "one hundred fourteen trillion, ten billion, four hundred thirty-four million, two hundred fifty-two thousand, thirty-two".