309329135014144 has 144 divisors (see below), whose sum is σ = 713952798289920. Its totient is φ = 131020227717120.

The previous prime is 309329135014091. The next prime is 309329135014147. The reversal of 309329135014144 is 441410531923903.

It is not an unprimeable number, because it can be changed into a prime (309329135014147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49327089 + ... + 55243279.

It is an arithmetic number, because the mean of its divisors is an integer number (4958005543680).

Almost surely, 2^{309329135014144} 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 309329135014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356976399144960).

309329135014144 is an abundant number, since it is smaller than the sum of its proper divisors (404623663275776).

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

309329135014144 is a wasteful number, since it uses less digits than its factorization.

309329135014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916556 (or 5916542 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 309329135014144 in words is "three hundred nine trillion, three hundred twenty-nine billion, one hundred thirty-five million, fourteen thousand, one hundred forty-four".