6933491085312 has 624 divisors, whose sum is σ = 23534671620096. Its totient is φ = 1944797184000.

The previous prime is 6933491085299. The next prime is 6933491085371. The reversal of 6933491085312 is 2135801943396.

6933491085312 is a `hidden beast` number, since 6 + 93 + 3 + 4 + 9 + 10 + 8 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289112362 + ... + 289136342.

It is an arithmetic number, because the mean of its divisors is an integer number (37715819904).

Almost surely, 2^{6933491085312} is an apocalyptic number.

6933491085312 is a gapful number since it is divisible by the number (62) 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 6933491085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767335810048).

6933491085312 is an abundant number, since it is smaller than the sum of its proper divisors (16601180534784).

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

6933491085312 is a wasteful number, since it uses less digits than its factorization.

6933491085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076 (or 24051 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6933491085312 in words is "six trillion, nine hundred thirty-three billion, four hundred ninety-one million, eighty-five thousand, three hundred twelve".