1683654168249 has 15 divisors (see below), whose sum is σ = 2515105770463. Its totient is φ = 1122428326824.

The previous prime is 1683654168139. The next prime is 1683654168277. The reversal of 1683654168249 is 9428614563861.

The square root of 1683654168249 is 1297557.

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

1683654168249 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 6 + 541 + 6 + 82 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 575830557225 + 1107823611024 = 758835^2 + 1052532^2 .

It is not a de Polignac number, because 1683654168249 - 2¹³ = 1683654160057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683654168949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11605927 + ... + 11750099.

Almost surely, 2^{1683654168249} is an apocalyptic number.

1683654168249 is the 1297557-th square number.

1683654168249 is the 648779-th centered octagonal number.

It is an amenable number.

1683654168249 is a deficient number, since it is larger than the sum of its proper divisors (831451602214).

1683654168249 is an frugal number, since it uses more digits than its factorization.

1683654168249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288358 (or 144176 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1683654168249 in words is "one trillion, six hundred eighty-three billion, six hundred fifty-four million, one hundred sixty-eight thousand, two hundred forty-nine".