354555144 has 80 divisors (see below), whose sum is σ = 997415100. Its totient is φ = 117669888.

The previous prime is 354555137. The next prime is 354555163. The reversal of 354555144 is 441555453.

It can be written as a sum of positive squares in 2 ways, for example, as 340402500 + 14152644 = 18450^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354555099 and 354555108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165472 + ... + 167600.

Almost surely, 2^354555144 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 354555144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498707550).

354555144 is an abundant number, since it is smaller than the sum of its proper divisors (642859956).

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

354555144 is a wasteful number, since it uses less digits than its factorization.

354555144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 354555144 is about 18829.6347282681. The cubic root of 354555144 is about 707.7739870366.

The spelling of 354555144 in words is "three hundred fifty-four million, five hundred fifty-five thousand, one hundred forty-four".