354564647856 has 120 divisors (see below), whose sum is σ = 1003073351280. Its totient is φ = 116905033728.

The previous prime is 354564647831. The next prime is 354564647861. The reversal of 354564647856 is 658746465453.

354564647856 is a `hidden beast` number, since 3 + 5 + 4 + 56 + 464 + 78 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 354564647793 and 354564647802.

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 23 ways as a sum of consecutive naturals, for example, 29731911 + ... + 29743833.

It is an arithmetic number, because the mean of its divisors is an integer number (8358944594).

Almost surely, 2^354564647856 is an apocalyptic number.

354564647856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354564647856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501536675640).

354564647856 is an abundant number, since it is smaller than the sum of its proper divisors (648508703424).

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

354564647856 is a wasteful number, since it uses less digits than its factorization.

354564647856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14154 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 354564647856 in words is "three hundred fifty-four billion, five hundred sixty-four million, six hundred forty-seven thousand, eight hundred fifty-six".