2348629810576 has 105 divisors (see below), whose sum is σ = 5313632574369. Its totient is φ = 1005654508992.

The previous prime is 2348629810507. The next prime is 2348629810577. The reversal of 2348629810576 is 6750189268432.

The square root of 2348629810576 is 1532524.

It is a perfect power (a square), and thus also a powerful number.

2348629810576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103954656400 + 2244675154176 = 322420^2 + 1498224^2 .

It is not an unprimeable number, because it can be changed into a prime (2348629810577) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2102622370 + ... + 2102623486.

It is a 1-persistent number, because it is pandigital, but 2⋅2348629810576 = 4697259621152 is not.

Almost surely, 2^{2348629810576} is an apocalyptic number.

2348629810576 is the 1532524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348629810576

2348629810576 is an abundant number, since it is smaller than the sum of its proper divisors (2965002763793).

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

2348629810576 is an frugal number, since it uses more digits than its factorization.

2348629810576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 2348629810576 in words is "two trillion, three hundred forty-eight billion, six hundred twenty-nine million, eight hundred ten thousand, five hundred seventy-six".