71693811049 has 27 divisors (see below), whose sum is σ = 86439448407. Its totient is φ = 59287825968.

The previous prime is 71693810977. The next prime is 71693811061. The reversal of 71693811049 is 94011839617.

The square root of 71693811049 is 267757.

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., 37594495449 + 34099315600 = 193893^2 + 184660^2 .

It is not a de Polignac number, because 71693811049 - 2⁷ = 71693810921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71693810993 and 71693811011.

It is not an unprimeable number, because it can be changed into a prime (71693211049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54354012 + ... + 54355330.

Almost surely, 2^71693811049 is an apocalyptic number.

71693811049 is the 267757-th square number.

71693811049 is the 133879-th centered octagonal number.

It is an amenable number.

71693811049 is a deficient number, since it is larger than the sum of its proper divisors (14745637358).

71693811049 is an frugal number, since it uses more digits than its factorization.

71693811049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 71693811049 by its sum of digits (49), we get a square (3512996741401 = 1874299²).

71693811049 divided by its sum of digits (49) gives a square (1463139001 = 38251²).

The spelling of 71693811049 in words is "seventy-one billion, six hundred ninety-three million, eight hundred eleven thousand, forty-nine".