356006144 has 72 divisors (see below), whose sum is σ = 798729792. Its totient is φ = 157132800.

The previous prime is 356006137. The next prime is 356006149. The reversal of 356006144 is 441600653.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (356006149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74219 + ... + 78869.

Almost surely, 2^356006144 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 356006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399364896).

356006144 is an abundant number, since it is smaller than the sum of its proper divisors (442723648).

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

356006144 is a wasteful number, since it uses less digits than its factorization.

356006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 356006144 is about 18868.1250790851. The cubic root of 356006144 is about 708.7381833386.

Adding to 356006144 its reverse (441600653), we get a palindrome (797606797).

The spelling of 356006144 in words is "three hundred fifty-six million, six thousand, one hundred forty-four".