344862145872 has 120 divisors (see below), whose sum is σ = 987920648000. Its totient is φ = 112241977344.

The previous prime is 344862145847. The next prime is 344862145897. The reversal of 344862145872 is 278541268443.

344862145872 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 621 + 4 + 5 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (344862145847) and next prime (344862145897).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22029504 + ... + 22045152.

Almost surely, 2^344862145872 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 344862145872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493960324000).

344862145872 is an abundant number, since it is smaller than the sum of its proper divisors (643058502128).

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

344862145872 is a wasteful number, since it uses less digits than its factorization.

344862145872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19265 (or 19256 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 344862145872 in words is "three hundred forty-four billion, eight hundred sixty-two million, one hundred forty-five thousand, eight hundred seventy-two".