2348166618432 has 224 divisors, whose sum is σ = 7155465292800. Its totient is φ = 754325913600.

The previous prime is 2348166618419. The next prime is 2348166618433.

2348166618432 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348166618433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12818944 + ... + 13000832.

Almost surely, 2^{2348166618432} 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 2348166618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577732646400).

2348166618432 is an abundant number, since it is smaller than the sum of its proper divisors (4807298674368).

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

2348166618432 is a wasteful number, since it uses less digits than its factorization.

2348166618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182182 (or 182166 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 2348166618432 in words is "two trillion, three hundred forty-eight billion, one hundred sixty-six million, six hundred eighteen thousand, four hundred thirty-two".