1617747416649 has 135 divisors (see below), whose sum is σ = 3046028523813. Its totient is φ = 852767854848.

The previous prime is 1617747416641. The next prime is 1617747416687. The reversal of 1617747416649 is 9466147477161.

The square root of 1617747416649 is 1271907.

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

1617747416649 is a `hidden beast` number, since 1 + 6 + 177 + 4 + 7 + 416 + 6 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 915671006649 + 702076410000 = 956907^2 + 837900^2 .

It is not a de Polignac number, because 1617747416649 - 2³ = 1617747416641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1617747416641) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1041691057 + ... + 1041692609.

Almost surely, 2^{1617747416649} is an apocalyptic number.

1617747416649 is the 1271907-th square number.

1617747416649 is the 635954-th centered octagonal number.

It is an amenable number.

1617747416649 is a deficient number, since it is larger than the sum of its proper divisors (1428281107164).

1617747416649 is an frugal number, since it uses more digits than its factorization.

1617747416649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 1576 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 1617747416649 in words is "one trillion, six hundred seventeen billion, seven hundred forty-seven million, four hundred sixteen thousand, six hundred forty-nine".