385512243200 has 378 divisors, whose sum is σ = 1115409814281. Its totient is φ = 132175626240.

The previous prime is 385512243187. The next prime is 385512243251. The reversal of 385512243200 is 2342215583.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 377801998336 + 7710244864 = 614656^2 + 87808^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=439040.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 55073177597 + ... + 55073177603.

Almost surely, 2^385512243200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385512243200

385512243200 is an abundant number, since it is smaller than the sum of its proper divisors (729897571081).

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

385512243200 is an frugal number, since it uses more digits than its factorization.

385512243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 385512243200 its reverse (2342215583), we get a palindrome (387854458783).

The spelling of 385512243200 in words is "three hundred eighty-five billion, five hundred twelve million, two hundred forty-three thousand, two hundred".