309441116160 has 384 divisors, whose sum is σ = 1199975212800. Its totient is φ = 75015290880.

The previous prime is 309441116129. The next prime is 309441116167. The reversal of 309441116160 is 61611144903.

309441116160 is a `hidden beast` number, since 30 + 9 + 4 + 4 + 1 + 1 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×309441116160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309441116167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2990407 + ... + 3092153.

It is an arithmetic number, because the mean of its divisors is an integer number (3124935450).

Almost surely, 2^309441116160 is an apocalyptic number.

309441116160 is a gapful number since it is divisible by the number (30) 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 309441116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599987606400).

309441116160 is an abundant number, since it is smaller than the sum of its proper divisors (890534096640).

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

309441116160 is a wasteful number, since it uses less digits than its factorization.

309441116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101794 (or 101768 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 309441116160 in words is "three hundred nine billion, four hundred forty-one million, one hundred sixteen thousand, one hundred sixty".