385350690816 has 1152 divisors, whose sum is σ = 1453088931840. Its totient is φ = 99325771776.

The previous prime is 385350690811. The next prime is 385350690863. The reversal of 385350690816 is 618096053583.

385350690816 is a `hidden beast` number, since 3 + 8 + 53 + 506 + 9 + 0 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (385350690811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3034257345 + ... + 3034257471.

It is an arithmetic number, because the mean of its divisors is an integer number (1261361920).

Almost surely, 2^385350690816 is an apocalyptic number.

385350690816 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 385350690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726544465920).

385350690816 is an abundant number, since it is smaller than the sum of its proper divisors (1067738241024).

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

385350690816 is a wasteful number, since it uses less digits than its factorization.

385350690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 385350690816 in words is "three hundred eighty-five billion, three hundred fifty million, six hundred ninety thousand, eight hundred sixteen".