354313646313453 has 64 divisors (see below), whose sum is σ = 557966321683200. Its totient is φ = 221442699018240.

The previous prime is 354313646313379. The next prime is 354313646313461.

It is a happy number.

354313646313453 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 136 + 46 + 3 + 13 + 453 = 666.

354313646313453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354313646313453 - 2¹⁴ = 354313646297069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354313646313453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354313646313353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608544525 + ... + 609126477.

It is an arithmetic number, because the mean of its divisors is an integer number (8718223776300).

Almost surely, 2^{354313646313453} is an apocalyptic number.

It is an amenable number.

354313646313453 is a deficient number, since it is larger than the sum of its proper divisors (203652675369747).

354313646313453 is a wasteful number, since it uses less digits than its factorization.

354313646313453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587179 (or 587173 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 354313646313453 in words is "three hundred fifty-four trillion, three hundred thirteen billion, six hundred forty-six million, three hundred thirteen thousand, four hundred fifty-three".