1398734347761 has 99 divisors (see below), whose sum is σ = 2181849798123. Its totient is φ = 896661426960.

The previous prime is 1398734347739. The next prime is 1398734347771. The reversal of 1398734347761 is 1677434378931.

The square root of 1398734347761 is 1182681.

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

1398734347761 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 73 + 434 + 77 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409990493025 + 988743854736 = 640305^2 + 994356^2 .

It is not a de Polignac number, because 1398734347761 - 2¹⁷ = 1398734216689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1398734347721) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 8909135895 + ... + 8909136051.

Almost surely, 2^{1398734347761} is an apocalyptic number.

1398734347761 is the 1182681-st square number.

1398734347761 is the 591341-st centered octagonal number.

It is an amenable number.

1398734347761 is a deficient number, since it is larger than the sum of its proper divisors (783115450362).

1398734347761 is an frugal number, since it uses more digits than its factorization.

1398734347761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 191 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 1398734347761 in words is "one trillion, three hundred ninety-eight billion, seven hundred thirty-four million, three hundred forty-seven thousand, seven hundred sixty-one".