6854351293440 has 1408 divisors, whose sum is σ = 29443220029440. Its totient is φ = 1478924697600.

The previous prime is 6854351293423. The next prime is 6854351293469. The reversal of 6854351293440 is 443921534586.

It is a happy number.

6854351293440 is a `hidden beast` number, since 6 + 8 + 54 + 3 + 512 + 9 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1229918494 + ... + 1229924066.

Almost surely, 2^{6854351293440} is an apocalyptic number.

6854351293440 is a gapful number since it is divisible by the number (60) 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 6854351293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721610014720).

6854351293440 is an abundant number, since it is smaller than the sum of its proper divisors (22588868736000).

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

6854351293440 is a wasteful number, since it uses less digits than its factorization.

6854351293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6854351293440 in words is "six trillion, eight hundred fifty-four billion, three hundred fifty-one million, two hundred ninety-three thousand, four hundred forty".