354631316143104 has 2112 divisors, whose sum is σ = 1422440308703232. Its totient is φ = 82097042227200.

The previous prime is 354631316143057. The next prime is 354631316143121. The reversal of 354631316143104 is 401341613136453.

354631316143104 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 3 + 1 + 316 + 14 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 354631316143104.

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, 156431986579 + ... + 156431988845.

Almost surely, 2^{354631316143104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354631316143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711220154351616).

354631316143104 is an abundant number, since it is smaller than the sum of its proper divisors (1067808992560128).

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

354631316143104 is a wasteful number, since it uses less digits than its factorization.

354631316143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 354631316143104 its reverse (401341613136453), we get a palindrome (755972929279557).

The spelling of 354631316143104 in words is "three hundred fifty-four trillion, six hundred thirty-one billion, three hundred sixteen million, one hundred forty-three thousand, one hundred four".