354306101364 has 36 divisors (see below), whose sum is σ = 895635888420. Its totient is φ = 118098236160.

The previous prime is 354306101363. The next prime is 354306101407. The reversal of 354306101364 is 463101603453.

354306101364 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 0 + 610 + 1 + 36 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233973429264 + 120332672100 = 483708^2 + 346890^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354306101363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117842 + ... + 1399350.

Almost surely, 2^354306101364 is an apocalyptic number.

It is an amenable number.

354306101364 is an abundant number, since it is smaller than the sum of its proper divisors (541329787056).

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

354306101364 is a wasteful number, since it uses less digits than its factorization.

354306101364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316480 (or 316475 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 354306101364 in words is "three hundred fifty-four billion, three hundred six million, one hundred one thousand, three hundred sixty-four".