385021958840064 has 2160 divisors, whose sum is σ = 1493650982244960. Its totient is φ = 97700440965120.

The previous prime is 385021958840027. The next prime is 385021958840087. The reversal of 385021958840064 is 460048859120583.

385021958840064 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 2 + 1 + 9 + 588 + 40 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 385021958839983 and 385021958840010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39534029307 + ... + 39534039045.

Almost surely, 2^{385021958840064} 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 385021958840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746825491122480).

385021958840064 is an abundant number, since it is smaller than the sum of its proper divisors (1108629023404896).

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

385021958840064 is a wasteful number, since it uses less digits than its factorization.

385021958840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 385021958840064 in words is "three hundred eighty-five trillion, twenty-one billion, nine hundred fifty-eight million, eight hundred forty thousand, sixty-four".