385521417216 has 352 divisors, whose sum is σ = 1244463333120. Its totient is φ = 117183725568.

The previous prime is 385521417209. The next prime is 385521417221. The reversal of 385521417216 is 612714125583.

385521417216 is a `hidden beast` number, since 3 + 8 + 5 + 521 + 41 + 72 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29825731 + ... + 29838653.

Almost surely, 2^385521417216 is an apocalyptic number.

385521417216 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 385521417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622231666560).

385521417216 is an abundant number, since it is smaller than the sum of its proper divisors (858941915904).

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

385521417216 is a wasteful number, since it uses less digits than its factorization.

385521417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13024 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 385521417216 in words is "three hundred eighty-five billion, five hundred twenty-one million, four hundred seventeen thousand, two hundred sixteen".