385656716544 has 288 divisors, whose sum is σ = 1173100852224. Its totient is φ = 111335178240.

The previous prime is 385656716527. The next prime is 385656716551. The reversal of 385656716544 is 445617656583.

It is a happy number.

385656716544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385656716544² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49932267 + ... + 49939989.

It is an arithmetic number, because the mean of its divisors is an integer number (4073266848).

Almost surely, 2^385656716544 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 385656716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586550426112).

385656716544 is an abundant number, since it is smaller than the sum of its proper divisors (787444135680).

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

385656716544 is a wasteful number, since it uses less digits than its factorization.

385656716544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033 (or 8019 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 385656716544 in words is "three hundred eighty-five billion, six hundred fifty-six million, seven hundred sixteen thousand, five hundred forty-four".