309673248132096 has 352 divisors, whose sum is σ = 957937753843200. Its totient is φ = 98697306193920.

The previous prime is 309673248132071. The next prime is 309673248132139. The reversal of 309673248132096 is 690231842376903.

309673248132096 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 7 + 32 + 481 + 32 + 0 + 96 = 666.

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, 80709691 + ... + 84459461.

Almost surely, 2^{309673248132096} is an apocalyptic number.

309673248132096 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 309673248132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478968876921600).

309673248132096 is an abundant number, since it is smaller than the sum of its proper divisors (648264505711104).

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

309673248132096 is a wasteful number, since it uses less digits than its factorization.

309673248132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749932 (or 3749908 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 309673248132096 in words is "three hundred nine trillion, six hundred seventy-three billion, two hundred forty-eight million, one hundred thirty-two thousand, ninety-six".