385862514048 has 256 divisors, whose sum is σ = 1315442592000. Its totient is φ = 110049730560.

The previous prime is 385862514043. The next prime is 385862514097. The reversal of 385862514048 is 840415268583.

385862514048 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 625 + 1 + 4 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385862513985 and 385862514003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385862514043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347743 + ... + 944801.

It is an arithmetic number, because the mean of its divisors is an integer number (5138447625).

Almost surely, 2^385862514048 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 385862514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657721296000).

385862514048 is an abundant number, since it is smaller than the sum of its proper divisors (929580077952).

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

385862514048 is a wasteful number, since it uses less digits than its factorization.

385862514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597110 (or 597092 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 385862514048 in words is "three hundred eighty-five billion, eight hundred sixty-two million, five hundred fourteen thousand, forty-eight".