351883596064 has 288 divisors, whose sum is σ = 965469818880. Its totient is φ = 122464742400.

The previous prime is 351883596047. The next prime is 351883596067. The reversal of 351883596064 is 460695388153.

It is not an unprimeable number, because it can be changed into a prime (351883596067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12895267 + ... + 12922525.

It is an arithmetic number, because the mean of its divisors is an integer number (3352325760).

Almost surely, 2^351883596064 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 351883596064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482734909440).

351883596064 is an abundant number, since it is smaller than the sum of its proper divisors (613586222816).

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

351883596064 is a wasteful number, since it uses less digits than its factorization.

351883596064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27344 (or 27323 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 351883596064 in words is "three hundred fifty-one billion, eight hundred eighty-three million, five hundred ninety-six thousand, sixty-four".