385109316759552 has 1248 divisors, whose sum is σ = 1334013261729792. Its totient is φ = 96620249088000.

The previous prime is 385109316759511. The next prime is 385109316759553. The reversal of 385109316759552 is 255957613901583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385109316759553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282960555352 + ... + 282960556712.

Almost surely, 2^{385109316759552} is an apocalyptic number.

385109316759552 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 385109316759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667006630864896).

385109316759552 is an abundant number, since it is smaller than the sum of its proper divisors (948903944970240).

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

385109316759552 is a wasteful number, since it uses less digits than its factorization.

385109316759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 306180000, while the sum is 69.

The spelling of 385109316759552 in words is "three hundred eighty-five trillion, one hundred nine billion, three hundred sixteen million, seven hundred fifty-nine thousand, five hundred fifty-two".