1003663654160 has 40 divisors (see below), whose sum is σ = 2470783763736. Its totient is φ = 377849845760.

The previous prime is 1003663654139. The next prime is 1003663654181. The reversal of 1003663654160 is 614563663001.

It is an interprime number because it is at equal distance from previous prime (1003663654139) and next prime (1003663654181).

It can be written as a sum of positive squares in 4 ways, for example, as 421232152576 + 582431501584 = 649024^2 + 763172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368992631 + ... + 368995350.

Almost surely, 2^{1003663654160} is an apocalyptic number.

1003663654160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003663654160 is an abundant number, since it is smaller than the sum of its proper divisors (1467120109576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003663654160 is a wasteful number, since it uses less digits than its factorization.

1003663654160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737988011 (or 737988005 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 1003663654160 in words is "one trillion, three billion, six hundred sixty-three million, six hundred fifty-four thousand, one hundred sixty".