2038153114321 has 9 divisors (see below), whose sum is σ = 2042959846683. Its totient is φ = 2033357674920.

The previous prime is 2038153114273. The next prime is 2038153114381. The reversal of 2038153114321 is 1234113518302.

The square root of 2038153114321 is 1427639.

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., 1139259504321 + 898893610000 = 1067361^2 + 948100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2038153114321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038153114381) 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, 712390431 + ... + 712393291.

Almost surely, 2^{2038153114321} is an apocalyptic number.

2038153114321 is the 1427639-th square number.

2038153114321 is the 713820-th centered octagonal number.

It is an amenable number.

2038153114321 is a deficient number, since it is larger than the sum of its proper divisors (4806732362).

2038153114321 is an frugal number, since it uses more digits than its factorization.

2038153114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2038153114321 in words is "two trillion, thirty-eight billion, one hundred fifty-three million, one hundred fourteen thousand, three hundred twenty-one".