354441622500 has 825 divisors, whose sum is σ = 1356324283391. Its totient is φ = 81015228000.

The previous prime is 354441622489. The next prime is 354441622501. The reversal of 354441622500 is 5226144453.

The square root of 354441622500 is 595350.

It is a perfect power (a square), and thus also a powerful number.

354441622500 is a `hidden beast` number, since 3 + 5 + 444 + 162 + 2 + 50 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27788223204 + 326653399296 = 166698^2 + 571536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (354441622501) by changing a digit.

It is a polite number, since it can be written in 274 ways as a sum of consecutive naturals, for example, 50634517497 + ... + 50634517503.

Almost surely, 2^354441622500 is an apocalyptic number.

354441622500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

354441622500 is the 595350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354441622500

354441622500 is an abundant number, since it is smaller than the sum of its proper divisors (1001882660891).

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

354441622500 is an frugal number, since it uses more digits than its factorization.

354441622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 354441622500 by its sum of digits (36), we get a 4-th power (12759898410000 = 1890⁴).

354441622500 divided by its sum of digits (36) gives a 4-th power (9845600625 = 315⁴).

Adding to 354441622500 its reverse (5226144453), we get a palindrome (359667766953).

The spelling of 354441622500 in words is "three hundred fifty-four billion, four hundred forty-one million, six hundred twenty-two thousand, five hundred".