2345304544128 has 1280 divisors, whose sum is σ = 8806050570240. Its totient is φ = 603228487680.

The previous prime is 2345304544103. The next prime is 2345304544129. The reversal of 2345304544128 is 8214454035432.

2345304544128 is a `hidden beast` number, since 2 + 3 + 4 + 530 + 4 + 54 + 41 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345304544129) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10517060625 + ... + 10517060847.

It is an arithmetic number, because the mean of its divisors is an integer number (6879727008).

Almost surely, 2^{2345304544128} is an apocalyptic number.

2345304544128 is a gapful number since it is divisible by the number (28) 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 2345304544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403025285120).

2345304544128 is an abundant number, since it is smaller than the sum of its proper divisors (6460746026112).

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

2345304544128 is a wasteful number, since it uses less digits than its factorization.

2345304544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 2345304544128 in words is "two trillion, three hundred forty-five billion, three hundred four million, five hundred forty-four thousand, one hundred twenty-eight".