359312489669952 has 2016 divisors, whose sum is σ = 1390190161651200. Its totient is φ = 91095778787328.

The previous prime is 359312489669911. The next prime is 359312489669999. The reversal of 359312489669952 is 259966984213953.

359312489669952 is a `hidden beast` number, since 3 + 59 + 31 + 2 + 489 + 6 + 6 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68662808328 + ... + 68662813560.

It is an arithmetic number, because the mean of its divisors is an integer number (689578453200).

Almost surely, 2^{359312489669952} is an apocalyptic number.

359312489669952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359312489669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695095080825600).

359312489669952 is an abundant number, since it is smaller than the sum of its proper divisors (1030877671981248).

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

359312489669952 is a wasteful number, since it uses less digits than its factorization.

359312489669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5526 counting only the distinct ones).

The product of its digits is 6802444800, while the sum is 81.

The spelling of 359312489669952 in words is "three hundred fifty-nine trillion, three hundred twelve billion, four hundred eighty-nine million, six hundred sixty-nine thousand, nine hundred fifty-two".