385759808640864 has 2304 divisors, whose sum is σ = 1390938606489600. Its totient is φ = 104912846438400.

The previous prime is 385759808640839. The next prime is 385759808640881. The reversal of 385759808640864 is 468046808957583.

385759808640864 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 59 + 80 + 86 + 408 + 6 + 4 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 961994535064 + ... + 961994535464.

It is an arithmetic number, because the mean of its divisors is an integer number (603705992400).

Almost surely, 2^{385759808640864} 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 385759808640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695469303244800).

385759808640864 is an abundant number, since it is smaller than the sum of its proper divisors (1005178797848736).

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

385759808640864 is an equidigital number, since it uses as much as digits as its factorization.

385759808640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 385759808640864 in words is "three hundred eighty-five trillion, seven hundred fifty-nine billion, eight hundred eight million, six hundred forty thousand, eight hundred sixty-four".