1763337000649 has 9 divisors (see below), whose sum is σ = 2051239568871. Its totient is φ = 1511423747400.

The previous prime is 1763337000617. The next prime is 1763337000673. The reversal of 1763337000649 is 9460007333671.

The square root of 1763337000649 is 1327907.

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., 852495816249 + 910841184400 = 923307^2 + 954380^2 .

It is not a de Polignac number, because 1763337000649 - 2⁵ = 1763337000617 is a prime.

It is a super-2 number, since 2×1763337000649² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1763337000349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9200499 + ... + 9390199.

Almost surely, 2^{1763337000649} is an apocalyptic number.

1763337000649 is the 1327907-th square number.

1763337000649 is the 663954-th centered octagonal number.

It is an amenable number.

1763337000649 is a deficient number, since it is larger than the sum of its proper divisors (287902568222).

1763337000649 is an frugal number, since it uses more digits than its factorization.

1763337000649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379416 (or 189708 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 49.

Multiplying 1763337000649 by its sum of digits (49), we get a square (86403513031801 = 9295349²).

1763337000649 divided by its sum of digits (49) gives a square (35986469401 = 189701²).

The spelling of 1763337000649 in words is "one trillion, seven hundred sixty-three billion, three hundred thirty-seven million, six hundred forty-nine", and thus it is an aban number.