114511204450125 has 192 divisors, whose sum is σ = 259247142086400. Its totient is φ = 49592821017600.

The previous prime is 114511204450109. The next prime is 114511204450229. The reversal of 114511204450125 is 521054402115411.

114511204450125 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 120 + 4 + 4 + 501 + 25 = 666.

It is not a de Polignac number, because 114511204450125 - 2⁴ = 114511204450109 is a prime.

It is a super-2 number, since 2×114511204450125² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114511204450125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15079812 + ... + 21364061.

It is an arithmetic number, because the mean of its divisors is an integer number (1350245531700).

Almost surely, 2^{114511204450125} is an apocalyptic number.

114511204450125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114511204450125 is an abundant number, since it is smaller than the sum of its proper divisors (144735937636275).

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

114511204450125 is a wasteful number, since it uses less digits than its factorization.

114511204450125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36443930 (or 36443907 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 114511204450125 its reverse (521054402115411), we get a palindrome (635565606565536).

The spelling of 114511204450125 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred four million, four hundred fifty thousand, one hundred twenty-five".