354330840833088 has 448 divisors, whose sum is σ = 1109730462597120. Its totient is φ = 97640818329600.

The previous prime is 354330840833083. The next prime is 354330840833111. The reversal of 354330840833088 is 880338048033453.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (354330840833083) by changing a digit.

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, 23417535283 + ... + 23417550413.

It is an arithmetic number, because the mean of its divisors is an integer number (2477076925440).

Almost surely, 2^{354330840833088} 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 354330840833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554865231298560).

354330840833088 is an abundant number, since it is smaller than the sum of its proper divisors (755399621764032).

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

354330840833088 is a wasteful number, since it uses less digits than its factorization.

354330840833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046 (or 17036 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 354330840833088 in words is "three hundred fifty-four trillion, three hundred thirty billion, eight hundred forty million, eight hundred thirty-three thousand, eighty-eight".