2353945230000 has 900 divisors, whose sum is σ = 10187928756720. Its totient is φ = 496634112000.

The previous prime is 2353945229983. The next prime is 2353945230011. The reversal of 2353945230000 is 325493532.

2353945230000 is a `hidden beast` number, since 2 + 35 + 394 + 5 + 230 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 106458946 + ... + 106481054.

Almost surely, 2^{2353945230000} is an apocalyptic number.

2353945230000 is a gapful number since it is divisible by the number (20) 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 2353945230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093964378360).

2353945230000 is an abundant number, since it is smaller than the sum of its proper divisors (7833983526720).

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

2353945230000 is a wasteful number, since it uses less digits than its factorization.

2353945230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 2353945230000 in words is "two trillion, three hundred fifty-three billion, nine hundred forty-five million, two hundred thirty thousand".