385848852480 has 1680 divisors, whose sum is σ = 1732840591104. Its totient is φ = 80263249920.

The previous prime is 385848852421. The next prime is 385848852497. The reversal of 385848852480 is 84258848583.

385848852480 is a `hidden beast` number, since 3 + 8 + 58 + 488 + 5 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5434490845 + ... + 5434490915.

Almost surely, 2^385848852480 is an apocalyptic number.

385848852480 is a gapful number since it is divisible by the number (30) 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 385848852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866420295552).

385848852480 is an abundant number, since it is smaller than the sum of its proper divisors (1346991738624).

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

385848852480 is an frugal number, since it uses more digits than its factorization.

385848852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 63.

The spelling of 385848852480 in words is "three hundred eighty-five billion, eight hundred forty-eight million, eight hundred fifty-two thousand, four hundred eighty".