385983937152 has 384 divisors, whose sum is σ = 1264016819520. Its totient is φ = 116270899200.

The previous prime is 385983937117. The next prime is 385983937181. The reversal of 385983937152 is 251739389583.

385983937152 is a `hidden beast` number, since 3 + 8 + 5 + 98 + 393 + 7 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×385983937152² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 385983937152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59187652 + ... + 59194172.

Almost surely, 2^385983937152 is an apocalyptic number.

385983937152 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 385983937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632008409760).

385983937152 is an abundant number, since it is smaller than the sum of its proper divisors (878032882368).

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

385983937152 is a wasteful number, since it uses less digits than its factorization.

385983937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6710 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 385983937152 in words is "three hundred eighty-five billion, nine hundred eighty-three million, nine hundred thirty-seven thousand, one hundred fifty-two".