14414015115225 has 48 divisors (see below), whose sum is σ = 28886268690240. Its totient is φ = 6988613385600.

The previous prime is 14414015115209. The next prime is 14414015115259. The reversal of 14414015115225 is 52251151041441.

14414015115225 is a `hidden beast` number, since 1 + 4 + 41 + 40 + 1 + 51 + 1 + 522 + 5 = 666.

It is not a de Polignac number, because 14414015115225 - 2⁴ = 14414015115209 is a prime.

It is a super-3 number, since 3×14414015115225³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14414015115225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970633324 + ... + 970648173.

It is an arithmetic number, because the mean of its divisors is an integer number (601797264380).

Almost surely, 2^{14414015115225} is an apocalyptic number.

14414015115225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14414015115225 is an abundant number, since it is smaller than the sum of its proper divisors (14472253575015).

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

14414015115225 is a wasteful number, since it uses less digits than its factorization.

14414015115225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941281527 (or 1941281516 counting only the distinct ones).

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

Adding to 14414015115225 its reverse (52251151041441), we get a palindrome (66665166156666).

The spelling of 14414015115225 in words is "fourteen trillion, four hundred fourteen billion, fifteen million, one hundred fifteen thousand, two hundred twenty-five".