356446446432 has 144 divisors (see below), whose sum is σ = 978868317168. Its totient is φ = 113562915840.

The previous prime is 356446446407. The next prime is 356446446439. The reversal of 356446446432 is 234644644653.

It is a super-4 number, since 4×356446446432⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356446446439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116446182 + ... + 116449242.

It is an arithmetic number, because the mean of its divisors is an integer number (6797696647).

Almost surely, 2^356446446432 is an apocalyptic number.

356446446432 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 356446446432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489434158584).

356446446432 is an abundant number, since it is smaller than the sum of its proper divisors (622421870736).

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

356446446432 is a wasteful number, since it uses less digits than its factorization.

356446446432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5382 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 51.

The spelling of 356446446432 in words is "three hundred fifty-six billion, four hundred forty-six million, four hundred forty-six thousand, four hundred thirty-two".