391343647546368 has 2464 divisors, whose sum is σ = 1365843041648640. Its totient is φ = 110926319616000.

The previous prime is 391343647546351. The next prime is 391343647546403. The reversal of 391343647546368 is 863645746343193.

391343647546368 is a `hidden beast` number, since 3 + 9 + 1 + 3 + 4 + 3 + 6 + 47 + 546 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 391343647546296 and 391343647546305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1066331464521 + ... + 1066331464887.

Almost surely, 2^{391343647546368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391343647546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682921520824320).

391343647546368 is an abundant number, since it is smaller than the sum of its proper divisors (974499394102272).

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

391343647546368 is a wasteful number, since it uses less digits than its factorization.

391343647546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 544 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 72.

The spelling of 391343647546368 in words is "three hundred ninety-one trillion, three hundred forty-three billion, six hundred forty-seven million, five hundred forty-six thousand, three hundred sixty-eight".