354317109888 has 128 divisors (see below), whose sum is σ = 1076023296000. Its totient is φ = 101194140672.

The previous prime is 354317109857. The next prime is 354317109919. The reversal of 354317109888 is 888901713453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354317109857) and next prime (354317109919).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×354317109888² (a number of 24 digits) contains 22 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 15 ways as a sum of consecutive naturals, for example, 7284433 + ... + 7332911.

It is an arithmetic number, because the mean of its divisors is an integer number (8406432000).

Almost surely, 2^354317109888 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 354317109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538011648000).

354317109888 is an abundant number, since it is smaller than the sum of its proper divisors (721706186112).

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

354317109888 is a wasteful number, since it uses less digits than its factorization.

354317109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51222 (or 51210 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 354317109888 in words is "three hundred fifty-four billion, three hundred seventeen million, one hundred nine thousand, eight hundred eighty-eight".