385887614112 has 1536 divisors, whose sum is σ = 1606193971200. Its totient is φ = 86892134400.

The previous prime is 385887614071. The next prime is 385887614117. The reversal of 385887614112 is 211416788583.

385887614112 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 8 + 7 + 614 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385887614117) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 991998814 + ... + 991999202.

It is an arithmetic number, because the mean of its divisors is an integer number (1045699200).

Almost surely, 2^385887614112 is an apocalyptic number.

385887614112 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 385887614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803096985600).

385887614112 is an abundant number, since it is smaller than the sum of its proper divisors (1220306357088).

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

385887614112 is a wasteful number, since it uses less digits than its factorization.

385887614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

It can be divided in two parts, 385887 and 614112, that added together give a palindrome (999999).

The spelling of 385887614112 in words is "three hundred eighty-five billion, eight hundred eighty-seven million, six hundred fourteen thousand, one hundred twelve".