354414412125 has 96 divisors (see below), whose sum is σ = 662688748800. Its totient is φ = 182015164800.

The previous prime is 354414412117. The next prime is 354414412139. The reversal of 354414412125 is 521214414453.

354414412125 is a `hidden beast` number, since 3 + 54 + 41 + 441 + 2 + 125 = 666.

It is not a de Polignac number, because 354414412125 - 2³ = 354414412117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354414412125.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12350544 + ... + 12379206.

It is an arithmetic number, because the mean of its divisors is an integer number (6903007800).

Almost surely, 2^354414412125 is an apocalyptic number.

It is an amenable number.

354414412125 is a deficient number, since it is larger than the sum of its proper divisors (308274336675).

354414412125 is a wasteful number, since it uses less digits than its factorization.

354414412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29092 (or 29079 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 354414412125 its reverse (521214414453), we get a palindrome (875628826578).

The spelling of 354414412125 in words is "three hundred fifty-four billion, four hundred fourteen million, four hundred twelve thousand, one hundred twenty-five".