1538073716481 has 81 divisors (see below), whose sum is σ = 2354814500259. Its totient is φ = 1004554710000.

The previous prime is 1538073716447. The next prime is 1538073716489. The reversal of 1538073716481 is 1846173708351.

The square root of 1538073716481 is 1240191.

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

1538073716481 is a `hidden beast` number, since 1 + 5 + 3 + 80 + 73 + 7 + 16 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50015296881 + 1488058419600 = 223641^2 + 1219860^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1538073716481 - 2¹¹ = 1538073714433 is a prime.

It is a super-2 number, since 2×1538073716481² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1538073716489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6127783606 + ... + 6127783856.

Almost surely, 2^{1538073716481} is an apocalyptic number.

1538073716481 is the 1240191-st square number.

1538073716481 is the 620096-th centered octagonal number.

It is an amenable number.

1538073716481 is a deficient number, since it is larger than the sum of its proper divisors (816740783778).

1538073716481 is an frugal number, since it uses more digits than its factorization.

1538073716481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1538073716481 in words is "one trillion, five hundred thirty-eight billion, seventy-three million, seven hundred sixteen thousand, four hundred eighty-one".