114524221454104 has 128 divisors (see below), whose sum is σ = 269759442009600. Its totient is φ = 44280555171840.

The previous prime is 114524221454077. The next prime is 114524221454119. The reversal of 114524221454104 is 401454122425411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67133832 + ... + 68818600.

It is an arithmetic number, because the mean of its divisors is an integer number (2107495640700).

Almost surely, 2^{114524221454104} is an apocalyptic number.

114524221454104 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 114524221454104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134879721004800).

114524221454104 is an abundant number, since it is smaller than the sum of its proper divisors (155235220555496).

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

114524221454104 is a wasteful number, since it uses less digits than its factorization.

114524221454104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685633 (or 1685629 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

Adding to 114524221454104 its reverse (401454122425411), we get a palindrome (515978343879515).

The spelling of 114524221454104 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-one million, four hundred fifty-four thousand, one hundred four".