343823400246144 has 512 divisors, whose sum is σ = 1214446963968000. Its totient is φ = 85344650625024.

The previous prime is 343823400246113. The next prime is 343823400246191. The reversal of 343823400246144 is 441642004328343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 343823400246093 and 343823400246102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23202429 + ... + 35014275.

It is an arithmetic number, because the mean of its divisors is an integer number (2371966726500).

Almost surely, 2^{343823400246144} is an apocalyptic number.

343823400246144 is a gapful number since it is divisible by the number (34) 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 343823400246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607223481984000).

343823400246144 is an abundant number, since it is smaller than the sum of its proper divisors (870623563721856).

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

343823400246144 is a wasteful number, since it uses less digits than its factorization.

343823400246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11811915 (or 11811889 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 343823400246144 in words is "three hundred forty-three trillion, eight hundred twenty-three billion, four hundred million, two hundred forty-six thousand, one hundred forty-four".