354114414105 has 32 divisors (see below), whose sum is σ = 576464309760. Its totient is φ = 185586370560.

The previous prime is 354114414097. The next prime is 354114414113. The reversal of 354114414105 is 501414411453.

It is an interprime number because it is at equal distance from previous prime (354114414097) and next prime (354114414113).

It is not a de Polignac number, because 354114414105 - 2³ = 354114414097 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 299920 + ... + 893409.

It is an arithmetic number, because the mean of its divisors is an integer number (18014509680).

Almost surely, 2^354114414105 is an apocalyptic number.

It is an amenable number.

354114414105 is a deficient number, since it is larger than the sum of its proper divisors (222349895655).

354114414105 is a wasteful number, since it uses less digits than its factorization.

354114414105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193681.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 354114414105 its reverse (501414411453), we get a palindrome (855528825558).

The spelling of 354114414105 in words is "three hundred fifty-four billion, one hundred fourteen million, four hundred fourteen thousand, one hundred five".