84503766063649 has 15 divisors (see below), whose sum is σ = 85471497145727. Its totient is φ = 83546991791616.

The previous prime is 84503766063583. The next prime is 84503766063707. The reversal of 84503766063649 is 94636066730548.

The square root of 84503766063649 is 9192593.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10416982176225 + 74086783887424 = 3227535^2 + 8607368^2 .

It is not a de Polignac number, because 84503766063649 - 2⁴⁵ = 49319393974817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84503766063449) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 86493107049 + ... + 86493108025.

Almost surely, 2^{84503766063649} is an apocalyptic number.

84503766063649 is the 9192593-rd square number.

84503766063649 is the 4596297-th centered octagonal number.

It is an amenable number.

84503766063649 is a deficient number, since it is larger than the sum of its proper divisors (967731082078).

84503766063649 is an frugal number, since it uses more digits than its factorization.

84503766063649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 67.

The spelling of 84503766063649 in words is "eighty-four trillion, five hundred three billion, seven hundred sixty-six million, sixty-three thousand, six hundred forty-nine".