385819868736 has 105 divisors (see below), whose sum is σ = 1143823543819. Its totient is φ = 128591715456.

The previous prime is 385819868729. The next prime is 385819868743. The reversal of 385819868736 is 637868918583.

The square root of 385819868736 is 621144.

It is a perfect power (a square), and thus also a powerful number.

385819868736 is a `hidden beast` number, since 3 + 8 + 581 + 9 + 8 + 6 + 8 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (385819868729) and next prime (385819868743).

It is a super-2 number, since 2×385819868736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44718055 + ... + 44726681.

Almost surely, 2^385819868736 is an apocalyptic number.

385819868736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

385819868736 is the 621144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385819868736

385819868736 is an abundant number, since it is smaller than the sum of its proper divisors (758003675083).

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

385819868736 is an frugal number, since it uses more digits than its factorization.

385819868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278 (or 8632 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 385819868736 in words is "three hundred eighty-five billion, eight hundred nineteen million, eight hundred sixty-eight thousand, seven hundred thirty-six".