385142581728 has 144 divisors (see below), whose sum is σ = 1202627003760. Its totient is φ = 120829003776.

The previous prime is 385142581723. The next prime is 385142581739. The reversal of 385142581728 is 827185241583.

It is a happy number.

385142581728 is a `hidden beast` number, since 3 + 8 + 51 + 4 + 2 + 581 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385142581723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324563 + ... + 1588946.

It is an arithmetic number, because the mean of its divisors is an integer number (8351576415).

Almost surely, 2^385142581728 is an apocalyptic number.

It is an amenable number.

385142581728 is an abundant number, since it is smaller than the sum of its proper divisors (817484422032).

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

385142581728 is a wasteful number, since it uses less digits than its factorization.

385142581728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913551 (or 2913531 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 385142581728 in words is "three hundred eighty-five billion, one hundred forty-two million, five hundred eighty-one thousand, seven hundred twenty-eight".