354769228000 has 192 divisors, whose sum is σ = 974108431296. Its totient is φ = 125859840000.

The previous prime is 354769227979. The next prime is 354769228001. The reversal of 354769228000 is 822967453.

It is a super-2 number, since 2×354769228000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354769228001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1705672 + ... + 1902328.

It is an arithmetic number, because the mean of its divisors is an integer number (5073481413).

Almost surely, 2^354769228000 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 354769228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487054215648).

354769228000 is an abundant number, since it is smaller than the sum of its proper divisors (619339203296).

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

354769228000 is a wasteful number, since it uses less digits than its factorization.

354769228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196734 (or 196716 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 354769228000 in words is "three hundred fifty-four billion, seven hundred sixty-nine million, two hundred twenty-eight thousand".