356822144 has 96 divisors (see below), whose sum is σ = 834441600. Its totient is φ = 148861440.

The previous prime is 356822111. The next prime is 356822149. The reversal of 356822144 is 441228653.

It is not an unprimeable number, because it can be changed into a prime (356822149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4516697 + ... + 4516775.

It is an arithmetic number, because the mean of its divisors is an integer number (8692100).

Almost surely, 2^356822144 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 356822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417220800).

356822144 is an abundant number, since it is smaller than the sum of its proper divisors (477619456).

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

356822144 is an frugal number, since it uses more digits than its factorization.

356822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 159 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 356822144 is about 18889.7364724869. The cubic root of 356822144 is about 709.2792686226.

The spelling of 356822144 in words is "three hundred fifty-six million, eight hundred twenty-two thousand, one hundred forty-four".