355361444544 has 112 divisors (see below), whose sum is σ = 954466264800. Its totient is φ = 116672102400.

The previous prime is 355361444539. The next prime is 355361444561. The reversal of 355361444544 is 445444163553.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 355361444493 and 355361444502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3695182 + ... + 3790130.

Almost surely, 2^355361444544 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 355361444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477233132400).

355361444544 is an abundant number, since it is smaller than the sum of its proper divisors (599104820256).

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

355361444544 is a wasteful number, since it uses less digits than its factorization.

355361444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95258 (or 95248 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 48.

The spelling of 355361444544 in words is "three hundred fifty-five billion, three hundred sixty-one million, four hundred forty-four thousand, five hundred forty-four".