381112379649 has 45 divisors (see below), whose sum is σ = 577001384323. Its totient is φ = 242403433008.

The previous prime is 381112379587. The next prime is 381112379651. The reversal of 381112379649 is 946973211183.

The square root of 381112379649 is 617343.

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., 89965803249 + 291146576400 = 299943^2 + 539580^2 .

It is not a de Polignac number, because 381112379649 - 2¹³ = 381112371457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 381112379595 and 381112379604.

It is not an unprimeable number, because it can be changed into a prime (381112379749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 979723147 + ... + 979723535.

Almost surely, 2^381112379649 is an apocalyptic number.

381112379649 is the 617343-rd square number.

381112379649 is the 308672-nd centered octagonal number.

It is an amenable number.

381112379649 is a deficient number, since it is larger than the sum of its proper divisors (195889004674).

381112379649 is an frugal number, since it uses more digits than its factorization.

381112379649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 415 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

It can be divided in two parts, 381112 and 379649, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 381112379649 in words is "three hundred eighty-one billion, one hundred twelve million, three hundred seventy-nine thousand, six hundred forty-nine".