354882466583680 has 512 divisors, whose sum is σ = 1047007594598400. Its totient is φ = 112330412113920.

The previous prime is 354882466583677. The next prime is 354882466583759. The reversal of 354882466583680 is 86385664288453.

It is a junction number, because it is equal to n+sod(n) for n = 354882466583597 and 354882466583606.

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 63 ways as a sum of consecutive naturals, for example, 8997330039 + ... + 8997369481.

It is an arithmetic number, because the mean of its divisors is an integer number (2044936708200).

Almost surely, 2^{354882466583680} 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 354882466583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523503797299200).

354882466583680 is an abundant number, since it is smaller than the sum of its proper divisors (692125128014720).

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

354882466583680 is a wasteful number, since it uses less digits than its factorization.

354882466583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42532 (or 42520 counting only the distinct ones).

The product of its (nonzero) digits is 6370099200, while the sum is 76.

The spelling of 354882466583680 in words is "three hundred fifty-four trillion, eight hundred eighty-two billion, four hundred sixty-six million, five hundred eighty-three thousand, six hundred eighty".