385122456576 has 1056 divisors, whose sum is σ = 1380929126400. Its totient is φ = 105066823680.

The previous prime is 385122456553. The next prime is 385122456583. The reversal of 385122456576 is 675654221583.

385122456576 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 2 + 2 + 4 + 565 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12096000) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3032460225 + ... + 3032460351.

Almost surely, 2^385122456576 is an apocalyptic number.

385122456576 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 385122456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690464563200).

385122456576 is an abundant number, since it is smaller than the sum of its proper divisors (995806669824).

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

385122456576 is a wasteful number, since it uses less digits than its factorization.

385122456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 385122456576 in words is "three hundred eighty-five billion, one hundred twenty-two million, four hundred fifty-six thousand, five hundred seventy-six".