354960000000 has 1056 divisors, whose sum is σ = 1403310860640. Its totient is φ = 86016000000.

The previous prime is 354959999987. The next prime is 354960000019. The reversal of 354960000000 is 69453.

It is a happy number.

354960000000 is a `hidden beast` number, since 3 + 54 + 9 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 197306532864 + 157653467136 = 444192^2 + 397056^2 .

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 14500 × 1700 × 14400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12239999986 + ... + 12240000014.

Almost surely, 2^354960000000 is an apocalyptic number.

354960000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701655430320).

354960000000 is an abundant number, since it is smaller than the sum of its proper divisors (1048350860640).

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

354960000000 is an frugal number, since it uses more digits than its factorization.

354960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 354960000000 its reverse (69453), we get a palindrome (354960069453).

The spelling of 354960000000 in words is "three hundred fifty-four billion, nine hundred sixty million", and thus it is an aban number.