8046691328000 has 1344 divisors, whose sum is σ = 24302525948064. Its totient is φ = 2632974336000.

The previous prime is 8046691327999. The next prime is 8046691328009. The reversal of 8046691328000 is 8231966408.

It can be written as a sum of positive squares in 16 ways, for example, as 8695189504 + 8037996138496 = 93248^2 + 2835136^2 .

It is a super-2 number, since 2×8046691328000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8046691328009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217478143982 + ... + 217478144018.

Almost surely, 2^{8046691328000} is an apocalyptic number.

8046691328000 is a gapful number since it is divisible by the number (80) 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 8046691328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151262974032).

8046691328000 is an abundant number, since it is smaller than the sum of its proper divisors (16255834620064).

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

8046691328000 is a wasteful number, since it uses less digits than its factorization.

8046691328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 8046691328000 in words is "eight trillion, forty-six billion, six hundred ninety-one million, three hundred twenty-eight thousand".