385816256546436 has 81 divisors (see below), whose sum is σ = 981182648367831. Its totient is φ = 127828805307984.

The previous prime is 385816256546423. The next prime is 385816256546443. The reversal of 385816256546436 is 634645652618583.

The square root of 385816256546436 is 19642206.

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

385816256546436 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 16 + 2 + 565 + 4 + 6 + 43 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19681480611 + ... + 19681500213.

Almost surely, 2^{385816256546436} is an apocalyptic number.

385816256546436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

385816256546436 is the 19642206-th square number.

It is an amenable number.

385816256546436 is an abundant number, since it is smaller than the sum of its proper divisors (595366391821395).

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

385816256546436 is an frugal number, since it uses more digits than its factorization.

385816256546436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39550 (or 19775 counting only the distinct ones).

The product of its digits is 2985984000, while the sum is 72.

The spelling of 385816256546436 in words is "three hundred eighty-five trillion, eight hundred sixteen billion, two hundred fifty-six million, five hundred forty-six thousand, four hundred thirty-six".