114541225411221 has 128 divisors (see below), whose sum is σ = 204990912000000. Its totient is φ = 61748663904000.

The previous prime is 114541225411211. The next prime is 114541225411231. The reversal of 114541225411221 is 122114522145411.

114541225411221 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 12 + 2 + 5 + 411 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (114541225411211) and next prime (114541225411231).

It is not a de Polignac number, because 114541225411221 - 2¹³ = 114541225403029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114541225411211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7272912655 + ... + 7272928403.

It is an arithmetic number, because the mean of its divisors is an integer number (1601491500000).

Almost surely, 2^{114541225411221} is an apocalyptic number.

It is an amenable number.

114541225411221 is a deficient number, since it is larger than the sum of its proper divisors (90449686588779).

114541225411221 is a wasteful number, since it uses less digits than its factorization.

114541225411221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24098 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

Adding to 114541225411221 its reverse (122114522145411), we get a palindrome (236655747556632).

The spelling of 114541225411221 in words is "one hundred fourteen trillion, five hundred forty-one billion, two hundred twenty-five million, four hundred eleven thousand, two hundred twenty-one".