309449327616 has 1408 divisors, whose sum is σ = 1164734484480. Its totient is φ = 79803187200.

The previous prime is 309449327611. The next prime is 309449327641. The reversal of 309449327616 is 616723944903.

It is a happy number.

309449327616 is a `hidden beast` number, since 3 + 0 + 94 + 493 + 2 + 7 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is not an unprimeable number, because it can be changed into a prime (309449327611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3728305111 + ... + 3728305193.

Almost surely, 2^309449327616 is an apocalyptic number.

309449327616 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 309449327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582367242240).

309449327616 is an abundant number, since it is smaller than the sum of its proper divisors (855285156864).

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

309449327616 is a wasteful number, since it uses less digits than its factorization.

309449327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 309449327616 in words is "three hundred nine billion, four hundred forty-nine million, three hundred twenty-seven thousand, six hundred sixteen".