309409946496 has 768 divisors, whose sum is σ = 1161386035200. Its totient is φ = 80495493120.

The previous prime is 309409946467. The next prime is 309409946563. The reversal of 309409946496 is 694649904903.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89242555 + ... + 89246021.

It is an arithmetic number, because the mean of its divisors is an integer number (1512221400).

Almost surely, 2^309409946496 is an apocalyptic number.

309409946496 is a gapful number since it is divisible by the number (36) 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 309409946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580693017600).

309409946496 is an abundant number, since it is smaller than the sum of its proper divisors (851976088704).

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

309409946496 is a wasteful number, since it uses less digits than its factorization.

309409946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 309409946496 in words is "three hundred nine billion, four hundred nine million, nine hundred forty-six thousand, four hundred ninety-six".