114524221504400 has 60 divisors (see below), whose sum is σ = 275164383328512. Its totient is φ = 45806368533120.

The previous prime is 114524221504393. The next prime is 114524221504403. The reversal of 114524221504400 is 4405122425411.

It is a happy number.

It is a super-2 number, since 2×114524221504400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114524221504403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4845512 + ... + 15891111.

Almost surely, 2^{114524221504400} is an apocalyptic number.

114524221504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114524221504400 is an abundant number, since it is smaller than the sum of its proper divisors (160640161824112).

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

114524221504400 is a wasteful number, since it uses less digits than its factorization.

114524221504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20750448 (or 20750437 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 114524221504400 its reverse (4405122425411), we get a palindrome (118929343929811).

The spelling of 114524221504400 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-one million, five hundred four thousand, four hundred".