385716607416 has 192 divisors, whose sum is σ = 1221464724480. Its totient is φ = 107667290880.

The previous prime is 385716607399. The next prime is 385716607429. The reversal of 385716607416 is 614706617583.

385716607416 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 16 + 607 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13511590 + ... + 13540106.

It is an arithmetic number, because the mean of its divisors is an integer number (6361795440).

Almost surely, 2^385716607416 is an apocalyptic number.

385716607416 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 385716607416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610732362240).

385716607416 is an abundant number, since it is smaller than the sum of its proper divisors (835748117064).

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

385716607416 is a wasteful number, since it uses less digits than its factorization.

385716607416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29154 (or 29147 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 385716607416 in words is "three hundred eighty-five billion, seven hundred sixteen million, six hundred seven thousand, four hundred sixteen".