385613053056 has 2016 divisors, whose sum is σ = 1597381441740. Its totient is φ = 91968307200.

The previous prime is 385613053043. The next prime is 385613053061. The reversal of 385613053056 is 650350316583.

It is a happy number.

385613053056 is a `hidden beast` number, since 3 + 8 + 5 + 61 + 3 + 0 + 530 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378697467456 + 6915585600 = 615384^2 + 83160^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 9405196396 + ... + 9405196436.

Almost surely, 2^385613053056 is an apocalyptic number.

385613053056 is a gapful number since it is divisible by the number (36) 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 385613053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798690720870).

385613053056 is an abundant number, since it is smaller than the sum of its proper divisors (1211768388684).

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

385613053056 is a wasteful number, since it uses less digits than its factorization.

385613053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 385613053056 in words is "three hundred eighty-five billion, six hundred thirteen million, fifty-three thousand, fifty-six".