359411449016256 has 1344 divisors, whose sum is σ = 1240292909076480. Its totient is φ = 90995115294720.

The previous prime is 359411449016237. The next prime is 359411449016267. The reversal of 359411449016256 is 652610944114953.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 359411449016256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50078225340 + ... + 50078232516.

It is an arithmetic number, because the mean of its divisors is an integer number (922836985920).

Almost surely, 2^{359411449016256} 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 359411449016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620146454538240).

359411449016256 is an abundant number, since it is smaller than the sum of its proper divisors (880881460060224).

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

359411449016256 is a wasteful number, since it uses less digits than its factorization.

359411449016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 359411449016256 in words is "three hundred fifty-nine trillion, four hundred eleven billion, four hundred forty-nine million, sixteen thousand, two hundred fifty-six".