385884635136 has 1440 divisors, whose sum is σ = 1499434696704. Its totient is φ = 85642444800.

The previous prime is 385884635107. The next prime is 385884635137. The reversal of 385884635136 is 631536488583.

Its product of digits (49766400) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 385884635136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385884635137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12447891441 + ... + 12447891471.

Almost surely, 2^385884635136 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 385884635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749717348352).

385884635136 is an abundant number, since it is smaller than the sum of its proper divisors (1113550061568).

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

385884635136 is a wasteful number, since it uses less digits than its factorization.

385884635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 385884635136 in words is "three hundred eighty-five billion, eight hundred eighty-four million, six hundred thirty-five thousand, one hundred thirty-six".