2253308333346 has 384 divisors, whose sum is σ = 5973355584000. Its totient is φ = 627683696640.

The previous prime is 2253308333333. The next prime is 2253308333407. The reversal of 2253308333346 is 6433338033522.

It is a happy number.

2253308333346 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 308 + 3 + 3 + 334 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8018890726 + ... + 8018891006.

It is an arithmetic number, because the mean of its divisors is an integer number (15555613500).

Almost surely, 2^{2253308333346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253308333346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986677792000).

2253308333346 is an abundant number, since it is smaller than the sum of its proper divisors (3720047250654).

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

2253308333346 is a wasteful number, since it uses less digits than its factorization.

2253308333346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 2253308333346 in words is "two trillion, two hundred fifty-three billion, three hundred eight million, three hundred thirty-three thousand, three hundred forty-six".