391161678336000 has 4992 divisors, whose sum is σ = 1767131760476160. Its totient is φ = 84536524800000.

The previous prime is 391161678335959. The next prime is 391161678336019. The reversal of 391161678336000 is 633876161193.

391161678336000 is a `hidden beast` number, since 3 + 9 + 1 + 16 + 16 + 7 + 8 + 3 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 796663295755 + ... + 796663296245.

It is an arithmetic number, because the mean of its divisors is an integer number (353992740480).

Almost surely, 2^{391161678336000} is an apocalyptic number.

391161678336000 is a gapful number since it is divisible by the number (30) 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 391161678336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883565880238080).

391161678336000 is an abundant number, since it is smaller than the sum of its proper divisors (1375970082140160).

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

391161678336000 is a wasteful number, since it uses less digits than its factorization.

391161678336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 391161678336000 in words is "three hundred ninety-one trillion, one hundred sixty-one billion, six hundred seventy-eight million, three hundred thirty-six thousand".