385465609892832 has 192 divisors, whose sum is σ = 1194447520272384. Its totient is φ = 106513605918720.

The previous prime is 385465609892723. The next prime is 385465609892837. The reversal of 385465609892832 is 238298906564583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385465609892837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27475488 + ... + 39061920.

It is an arithmetic number, because the mean of its divisors is an integer number (6221080834752).

Almost surely, 2^{385465609892832} is an apocalyptic number.

385465609892832 is a gapful number since it is divisible by the number (32) 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 385465609892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597223760136192).

385465609892832 is an abundant number, since it is smaller than the sum of its proper divisors (808981910379552).

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

385465609892832 is a wasteful number, since it uses less digits than its factorization.

385465609892832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588081 (or 11588073 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 78.

The spelling of 385465609892832 in words is "three hundred eighty-five trillion, four hundred sixty-five billion, six hundred nine million, eight hundred ninety-two thousand, eight hundred thirty-two".