2338981773129 has 27 divisors (see below), whose sum is σ = 3499246570183. Its totient is φ = 1505465841264.

The previous prime is 2338981773097. The next prime is 2338981773137. The reversal of 2338981773129 is 9213771898332.

The square root of 2338981773129 is 1529373.

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

2338981773129 is a `hidden beast` number, since 2 + 338 + 9 + 8 + 177 + 3 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1226505305529 + 1112476467600 = 1107477^2 + 1054740^2 .

It is not a de Polignac number, because 2338981773129 - 2⁵ = 2338981773097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2338981773179) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133046662 + ... + 133064240.

Almost surely, 2^{2338981773129} is an apocalyptic number.

2338981773129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2338981773129 is the 1529373-rd square number.

2338981773129 is the 764687-th centered octagonal number.

It is an amenable number.

2338981773129 is a deficient number, since it is larger than the sum of its proper divisors (1160264797054).

2338981773129 is an frugal number, since it uses more digits than its factorization.

2338981773129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35222 (or 17611 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 2338981773129 in words is "two trillion, three hundred thirty-eight billion, nine hundred eighty-one million, seven hundred seventy-three thousand, one hundred twenty-nine".