354548090000 has 300 divisors, whose sum is σ = 982107690564. Its totient is φ = 123196416000.

The previous prime is 354548089997. The next prime is 354548090009. The reversal of 354548090000 is 90845453.

It is a happy number.

It can be written as a sum of positive squares in 30 ways, for example, as 346784365456 + 7763724544 = 588884^2 + 88112^2 .

It is not an unprimeable number, because it can be changed into a prime (354548090009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37565282 + ... + 37574718.

Almost surely, 2^354548090000 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 354548090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491053845282).

354548090000 is an abundant number, since it is smaller than the sum of its proper divisors (627559600564).

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

354548090000 is a wasteful number, since it uses less digits than its factorization.

354548090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 354548090000 in words is "three hundred fifty-four billion, five hundred forty-eight million, ninety thousand".