354312200000 has 294 divisors, whose sum is σ = 966684452454. Its totient is φ = 128840800000.

The previous prime is 354312199999. The next prime is 354312200189. The reversal of 354312200000 is 2213453.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 163720581376 + 190591618624 = 404624^2 + 436568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 32210199995 + ... + 32210200005.

Almost surely, 2^354312200000 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 354312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483342226227).

354312200000 is an abundant number, since it is smaller than the sum of its proper divisors (612372252454).

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

354312200000 is an frugal number, since it uses more digits than its factorization.

354312200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Multiplying 354312200000 by its sum of digits (20), we get a square (7086244000000 = 2662000²).

354312200000 divided by its sum of digits (20) gives a square (17715610000 = 133100²).

Multiplying 354312200000 by its product of nonzero digits (720), we get a square (255104784000000 = 15972000²).

Adding to 354312200000 its reverse (2213453), we get a palindrome (354314413453).

The spelling of 354312200000 in words is "three hundred fifty-four billion, three hundred twelve million, two hundred thousand".