114301224511452 has 144 divisors (see below), whose sum is σ = 316247717140992. Its totient is φ = 34521013952640.

The previous prime is 114301224511429. The next prime is 114301224511517. The reversal of 114301224511452 is 254115422103411.

114301224511452 is a `hidden beast` number, since 1 + 1 + 4 + 30 + 122 + 4 + 51 + 1 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693732993 + ... + 693897735.

It is an arithmetic number, because the mean of its divisors is an integer number (2196164702368).

Almost surely, 2^{114301224511452} is an apocalyptic number.

114301224511452 is a gapful number since it is divisible by the number (12) 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 114301224511452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158123858570496).

114301224511452 is an abundant number, since it is smaller than the sum of its proper divisors (201946492629540).

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

114301224511452 is a wasteful number, since it uses less digits than its factorization.

114301224511452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170608 (or 170603 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114301224511452 its reverse (254115422103411), we get a palindrome (368416646614863).

The spelling of 114301224511452 in words is "one hundred fourteen trillion, three hundred one billion, two hundred twenty-four million, five hundred eleven thousand, four hundred fifty-two".