385977655441 has 45 divisors (see below), whose sum is σ = 466414573563. Its totient is φ = 319382995680.

The previous prime is 385977655433. The next prime is 385977655451. The reversal of 385977655441 is 144556779583.

The square root of 385977655441 is 621271.

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

It can be written as a sum of positive squares in only one way, i.e., 352751657041 + 33225998400 = 593929^2 + 182280^2 .

It is not a de Polignac number, because 385977655441 - 2³ = 385977655433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385977655451) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 943710445 + ... + 943710853.

Almost surely, 2^385977655441 is an apocalyptic number.

385977655441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

385977655441 is the 621271-st square number.

385977655441 is the 310636-th centered octagonal number.

It is an amenable number.

385977655441 is a deficient number, since it is larger than the sum of its proper divisors (80436918122).

385977655441 is an frugal number, since it uses more digits than its factorization.

385977655441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 447 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 64.

Multiplying 385977655441 by its sum of digits (64), we get a square (24702569948224 = 4970168²).

The spelling of 385977655441 in words is "three hundred eighty-five billion, nine hundred seventy-seven million, six hundred fifty-five thousand, four hundred forty-one".