2348338338432 has 256 divisors, whose sum is σ = 7033528320000. Its totient is φ = 771261004800.

The previous prime is 2348338338427. The next prime is 2348338338433.

2348338338432 is a `hidden beast` number, since 2 + 3 + 483 + 3 + 83 + 3 + 84 + 3 + 2 = 666.

2348338338432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2348338338433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70821057 + ... + 70854207.

It is an arithmetic number, because the mean of its divisors is an integer number (27474720000).

Almost surely, 2^{2348338338432} 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 2348338338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516764160000).

2348338338432 is an abundant number, since it is smaller than the sum of its proper divisors (4685189981568).

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

2348338338432 is a wasteful number, since it uses less digits than its factorization.

2348338338432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33476 (or 33458 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 2348338338432 in words is "two trillion, three hundred forty-eight billion, three hundred thirty-eight million, three hundred thirty-eight thousand, four hundred thirty-two".