309919343616 has 165 divisors, whose sum is σ = 925958777601. Its totient is φ = 103253004288.

The previous prime is 309919343609. The next prime is 309919343647. The reversal of 309919343616 is 616343919903.

The square root of 309919343616 is 556704.

It is a perfect power (a square), and thus also a powerful number.

309919343616 is a `hidden beast` number, since 3 + 0 + 9 + 9 + 19 + 3 + 4 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211011609600 + 98907734016 = 459360^2 + 314496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 160329786 + ... + 160331718.

Almost surely, 2^309919343616 is an apocalyptic number.

309919343616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

309919343616 is the 556704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309919343616

309919343616 is an abundant number, since it is smaller than the sum of its proper divisors (616039433985).

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

309919343616 is an frugal number, since it uses more digits than its factorization.

309919343616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 309919343616 in words is "three hundred nine billion, nine hundred nineteen million, three hundred forty-three thousand, six hundred sixteen".