114034210251024 has 80 divisors (see below), whose sum is σ = 338618513849472. Its totient is φ = 32392872259584.

The previous prime is 114034210250977. The next prime is 114034210251029. The reversal of 114034210251024 is 420152012430411.

It is a super-2 number, since 2×114034210251024² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114034210250982 and 114034210251000.

It is not an unprimeable number, because it can be changed into a prime (114034210251029) 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, 980830689 + ... + 980946944.

Almost surely, 2^{114034210251024} is an apocalyptic number.

114034210251024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114034210251024 is an abundant number, since it is smaller than the sum of its proper divisors (224584303598448).

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

114034210251024 is a wasteful number, since it uses less digits than its factorization.

114034210251024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961777824 (or 1961777818 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114034210251024 its reverse (420152012430411), we get a palindrome (534186222681435).

The spelling of 114034210251024 in words is "one hundred fourteen trillion, thirty-four billion, two hundred ten million, two hundred fifty-one thousand, twenty-four".