391716705796416 has 3136 divisors, whose sum is σ = 1589639443316736. Its totient is φ = 92440689868800.

The previous prime is 391716705796411. The next prime is 391716705796433. The reversal of 391716705796416 is 614697507617193.

391716705796416 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 1 + 6 + 7 + 0 + 579 + 6 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391716705796411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1251491072676 + ... + 1251491072988.

Almost surely, 2^{391716705796416} is an apocalyptic number.

391716705796416 is a gapful number since it is divisible by the number (36) 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 391716705796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794819721658368).

391716705796416 is an abundant number, since it is smaller than the sum of its proper divisors (1197922737520320).

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

391716705796416 is a wasteful number, since it uses less digits than its factorization.

391716705796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 391716705796416 in words is "three hundred ninety-one trillion, seven hundred sixteen billion, seven hundred five million, seven hundred ninety-six thousand, four hundred sixteen".