385729757120016 has 45 divisors (see below), whose sum is σ = 1079508243739471. Its totient is φ = 128576507146656.

The previous prime is 385729757119979. The next prime is 385729757120017. The reversal of 385729757120016 is 610021757927583.

It is a happy number.

The square root of 385729757120016 is 19640004.

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

385729757120016 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 29 + 7 + 571 + 20 + 0 + 16 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385729757120017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234861715 + ... + 236498381.

Almost surely, 2^{385729757120016} is an apocalyptic number.

385729757120016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

385729757120016 is the 19640004-th square number.

It is an amenable number.

385729757120016 is an abundant number, since it is smaller than the sum of its proper divisors (693778486619455).

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

385729757120016 is an frugal number, since it uses more digits than its factorization.

385729757120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273348 (or 1636672 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 385729757120016 in words is "three hundred eighty-five trillion, seven hundred twenty-nine billion, seven hundred fifty-seven million, one hundred twenty thousand, sixteen".