354566380560 has 160 divisors (see below), whose sum is σ = 1257807709440. Its totient is φ = 80938604544.

The previous prime is 354566380517. The next prime is 354566380601. The reversal of 354566380560 is 65083665453.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1162126 + ... + 1435154.

It is an arithmetic number, because the mean of its divisors is an integer number (7861298184).

Almost surely, 2^354566380560 is an apocalyptic number.

354566380560 is a gapful number since it is divisible by the number (30) 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 354566380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628903854720).

354566380560 is an abundant number, since it is smaller than the sum of its proper divisors (903241328880).

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

354566380560 is a wasteful number, since it uses less digits than its factorization.

354566380560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273825 (or 273819 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 354566380560 in words is "three hundred fifty-four billion, five hundred sixty-six million, three hundred eighty thousand, five hundred sixty".