1383448792401 has 81 divisors (see below), whose sum is σ = 2248980272721. Its totient is φ = 850590924768.

The previous prime is 1383448792379. The next prime is 1383448792423. The reversal of 1383448792401 is 1042978443831.

The square root of 1383448792401 is 1176201.

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

1383448792401 is a `hidden beast` number, since 1 + 3 + 8 + 34 + 487 + 92 + 40 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1383448792379) and next prime (1383448792423).

It can be written as a sum of positive squares in 4 ways, for example, as 933637130001 + 449811662400 = 966249^2 + 670680^2 .

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

It is not a de Polignac number, because 1383448792401 - 2⁷ = 1383448792273 is a prime.

It is a super-2 number, since 2×1383448792401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1383448792501) 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, 1238539095 + ... + 1238540211.

Almost surely, 2^{1383448792401} is an apocalyptic number.

1383448792401 is the 1176201-st square number.

1383448792401 is the 588101-st centered octagonal number.

It is an amenable number.

1383448792401 is a deficient number, since it is larger than the sum of its proper divisors (865531480320).

1383448792401 is an frugal number, since it uses more digits than its factorization.

1383448792401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1383448792401 in words is "one trillion, three hundred eighty-three billion, four hundred forty-eight million, seven hundred ninety-two thousand, four hundred one".