8032313146880 has 960 divisors, whose sum is σ = 24155196468480. Its totient is φ = 2542412759040.

The previous prime is 8032313146867. The next prime is 8032313146889. The reversal of 8032313146880 is 886413132308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8032313146889) 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, 4302255707 + ... + 4302257573.

It is an arithmetic number, because the mean of its divisors is an integer number (25161662988).

Almost surely, 2^{8032313146880} is an apocalyptic number.

8032313146880 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 8032313146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077598234240).

8032313146880 is an abundant number, since it is smaller than the sum of its proper divisors (16122883321600).

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

8032313146880 is a wasteful number, since it uses less digits than its factorization.

8032313146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 8032313146880 in words is "eight trillion, thirty-two billion, three hundred thirteen million, one hundred forty-six thousand, eight hundred eighty".