354259444968 has 384 divisors, whose sum is σ = 1175285462400. Its totient is φ = 98205972480.

The previous prime is 354259444933. The next prime is 354259445009. The reversal of 354259444968 is 869444952453.

354259444968 is a `hidden beast` number, since 3 + 5 + 42 + 5 + 94 + 449 + 68 = 666.

It is a super-3 number, since 3×354259444968³ (a number of 36 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 38389171 + ... + 38398397.

It is an arithmetic number, because the mean of its divisors is an integer number (3060639225).

Almost surely, 2^354259444968 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 354259444968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587642731200).

354259444968 is an abundant number, since it is smaller than the sum of its proper divisors (821026017432).

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

354259444968 is a wasteful number, since it uses less digits than its factorization.

354259444968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9369 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 354259444968 in words is "three hundred fifty-four billion, two hundred fifty-nine million, four hundred forty-four thousand, nine hundred sixty-eight".