114511212024104 has 96 divisors (see below), whose sum is σ = 250869161485800. Its totient is φ = 48858935408640.

The previous prime is 114511212024029. The next prime is 114511212024151. The reversal of 114511212024104 is 401420212115411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114426878702500 + 84333321604 = 10697050^2 + 290402^2 .

It is a super-2 number, since 2×114511212024104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 700374044 + ... + 700537524.

Almost surely, 2^{114511212024104} is an apocalyptic number.

114511212024104 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 114511212024104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125434580742900).

114511212024104 is an abundant number, since it is smaller than the sum of its proper divisors (136357949461696).

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

114511212024104 is a wasteful number, since it uses less digits than its factorization.

114511212024104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171403 (or 171392 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 114511212024104 its reverse (401420212115411), we get a palindrome (515931424139515).

The spelling of 114511212024104 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred twelve million, twenty-four thousand, one hundred four".