354636845344 has 192 divisors, whose sum is σ = 743806476000. Its totient is φ = 166207684608.

The previous prime is 354636845333. The next prime is 354636845357. The reversal of 354636845344 is 443548636453.

It can be written as a sum of positive squares in 16 ways, for example, as 1729561744 + 352907283600 = 41588^2 + 594060^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837496512 + ... + 1837496704.

Almost surely, 2^354636845344 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 354636845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371903238000).

354636845344 is an abundant number, since it is smaller than the sum of its proper divisors (389169630656).

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

354636845344 is a wasteful number, since it uses less digits than its factorization.

354636845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 55.

The spelling of 354636845344 in words is "three hundred fifty-four billion, six hundred thirty-six million, eight hundred forty-five thousand, three hundred forty-four".