354516066500 has 48 divisors (see below), whose sum is σ = 774326345520. Its totient is φ = 141794841600.

The previous prime is 354516066497. The next prime is 354516066503. The reversal of 354516066500 is 5660615453.

It is an interprime number because it is at equal distance from previous prime (354516066497) and next prime (354516066503).

It can be written as a sum of positive squares in 8 ways, for example, as 315673175104 + 38842891396 = 561848^2 + 197086^2 .

It is not an unprimeable number, because it can be changed into a prime (354516066503) 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 15 ways as a sum of consecutive naturals, for example, 8764322 + ... + 8804678.

It is an arithmetic number, because the mean of its divisors is an integer number (16131798865).

Almost surely, 2^354516066500 is an apocalyptic number.

It is an amenable number.

354516066500 is an abundant number, since it is smaller than the sum of its proper divisors (419810279020).

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

354516066500 is a wasteful number, since it uses less digits than its factorization.

354516066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57945 (or 57933 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 354516066500 in words is "three hundred fifty-four billion, five hundred sixteen million, sixty-six thousand, five hundred".