385623068544000 has 6336 divisors, whose sum is σ = 1809835620203520. Its totient is φ = 79976595456000.

The previous prime is 385623068543917. The next prime is 385623068544041. The reversal of 385623068544000 is 445860326583.

385623068544000 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 2 + 30 + 68 + 544 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3975495551952 + ... + 3975495552048.

Almost surely, 2^{385623068544000} is an apocalyptic number.

385623068544000 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 385623068544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904917810101760).

385623068544000 is an abundant number, since it is smaller than the sum of its proper divisors (1424212551659520).

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

385623068544000 is an equidigital number, since it uses as much as digits as its factorization.

385623068544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 385623068544000 in words is "three hundred eighty-five trillion, six hundred twenty-three billion, sixty-eight million, five hundred forty-four thousand".