309136431744 has 256 divisors, whose sum is σ = 1043560857600. Its totient is φ = 88253660160.

The previous prime is 309136431707. The next prime is 309136431761. The reversal of 309136431744 is 447134631903.

309136431744 is a `hidden beast` number, since 30 + 91 + 36 + 431 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 309136431744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35001409 + ... + 35010239.

It is an arithmetic number, because the mean of its divisors is an integer number (4076409600).

Almost surely, 2^309136431744 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 309136431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521780428800).

309136431744 is an abundant number, since it is smaller than the sum of its proper divisors (734424425856).

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

309136431744 is a wasteful number, since it uses less digits than its factorization.

309136431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 309136431744 in words is "three hundred nine billion, one hundred thirty-six million, four hundred thirty-one thousand, seven hundred forty-four".