393954089066496 has 2016 divisors, whose sum is σ = 1493124678313632. Its totient is φ = 103058012897280.

The previous prime is 393954089066467. The next prime is 393954089066501. The reversal of 393954089066496 is 694660980459393.

393954089066496 is a `hidden beast` number, since 3 + 9 + 3 + 9 + 5 + 40 + 89 + 0 + 6 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 61354005366 + ... + 61354011786.

It is an arithmetic number, because the mean of its divisors is an integer number (740637241227).

Almost surely, 2^{393954089066496} is an apocalyptic number.

393954089066496 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 393954089066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746562339156816).

393954089066496 is an abundant number, since it is smaller than the sum of its proper divisors (1099170589247136).

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

393954089066496 is an equidigital number, since it uses as much as digits as its factorization.

393954089066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 8162933760, while the sum is 81.

The spelling of 393954089066496 in words is "three hundred ninety-three trillion, nine hundred fifty-four billion, eighty-nine million, sixty-six thousand, four hundred ninety-six".