1483833388129 has 9 divisors (see below), whose sum is σ = 1506393559251. Its totient is φ = 1461606224760.

The previous prime is 1483833388069. The next prime is 1483833388139. The reversal of 1483833388129 is 9218833383841.

The square root of 1483833388129 is 1218127.

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., 1411289352529 + 72544035600 = 1187977^2 + 269340^2 .

It is not a de Polignac number, because 1483833388129 - 2¹⁷ = 1483833257057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1483833388139) 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, 81605419 + ... + 81623599.

It is an arithmetic number, because the mean of its divisors is an integer number (167377062139).

Almost surely, 2^{1483833388129} is an apocalyptic number.

1483833388129 is the 1218127-th square number.

1483833388129 is the 609064-th centered octagonal number.

It is an amenable number.

1483833388129 is a deficient number, since it is larger than the sum of its proper divisors (22560171122).

1483833388129 is an frugal number, since it uses more digits than its factorization.

1483833388129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36496 (or 18248 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 61.

The spelling of 1483833388129 in words is "one trillion, four hundred eighty-three billion, eight hundred thirty-three million, three hundred eighty-eight thousand, one hundred twenty-nine".