2138324214601 has 27 divisors (see below), whose sum is σ = 2264170828743. Its totient is φ = 2019379188960.

The previous prime is 2138324214563. The next prime is 2138324214613. The reversal of 2138324214601 is 1064124238312.

The square root of 2138324214601 is 1462301.

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., 608095838025 + 1530228376576 = 779805^2 + 1237024^2 .

It is not a de Polignac number, because 2138324214601 - 2³¹ = 2136176730953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2138324214671) 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, 1949246685 + ... + 1949247781.

Almost surely, 2^{2138324214601} is an apocalyptic number.

2138324214601 is the 1462301-st square number.

2138324214601 is the 731151-st centered octagonal number.

It is an amenable number.

2138324214601 is a deficient number, since it is larger than the sum of its proper divisors (125846614142).

2138324214601 is an frugal number, since it uses more digits than its factorization.

2138324214601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 2138324214601 in words is "two trillion, one hundred thirty-eight billion, three hundred twenty-four million, two hundred fourteen thousand, six hundred one".