1003649033673 has 144 divisors (see below), whose sum is σ = 1762909424640. Its totient is φ = 546296382720.

The previous prime is 1003649033671. The next prime is 1003649033731. The reversal of 1003649033673 is 3763309463001.

1003649033673 is a `hidden beast` number, since 100 + 3 + 64 + 90 + 336 + 73 = 666.

It is not a de Polignac number, because 1003649033673 - 2¹ = 1003649033671 is a prime.

It is a super-2 number, since 2×1003649033673² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003649033671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115106208 + ... + 115114926.

It is an arithmetic number, because the mean of its divisors is an integer number (12242426560).

Almost surely, 2^{1003649033673} is an apocalyptic number.

1003649033673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003649033673 is a deficient number, since it is larger than the sum of its proper divisors (759260390967).

1003649033673 is a wasteful number, since it uses less digits than its factorization.

1003649033673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 1003649033673 in words is "one trillion, three billion, six hundred forty-nine million, thirty-three thousand, six hundred seventy-three".