146328318676344 has 512 divisors, whose sum is σ = 447805532160000. Its totient is φ = 38895597232128.

The previous prime is 146328318676339. The next prime is 146328318676357. The reversal of 146328318676344 is 443676813823641.

146328318676344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133877692662 + ... + 133877693754.

It is an arithmetic number, because the mean of its divisors is an integer number (874620180000).

Almost surely, 2^{146328318676344} is an apocalyptic number.

146328318676344 is a gapful number since it is divisible by the number (14) 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 146328318676344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223902766080000).

146328318676344 is an abundant number, since it is smaller than the sum of its proper divisors (301477213483656).

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

146328318676344 is a wasteful number, since it uses less digits than its factorization.

146328318676344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2423 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 66.

The spelling of 146328318676344 in words is "one hundred forty-six trillion, three hundred twenty-eight billion, three hundred eighteen million, six hundred seventy-six thousand, three hundred forty-four".