385316972544 has 192 divisors, whose sum is σ = 1177441574400. Its totient is φ = 109769048064.

The previous prime is 385316972533. The next prime is 385316972549. The reversal of 385316972544 is 445279613583.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (385316972549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14910867 + ... + 14936685.

It is an arithmetic number, because the mean of its divisors is an integer number (6132508200).

Almost surely, 2^385316972544 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 385316972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588720787200).

385316972544 is an abundant number, since it is smaller than the sum of its proper divisors (792124601856).

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

385316972544 is a wasteful number, since it uses less digits than its factorization.

385316972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198 (or 26178 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 385316972544 in words is "three hundred eighty-five billion, three hundred sixteen million, nine hundred seventy-two thousand, five hundred forty-four".