1007741481663 has 48 divisors (see below), whose sum is σ = 1595840144640. Its totient is φ = 563876982144.

The previous prime is 1007741481601. The next prime is 1007741481727. The reversal of 1007741481663 is 3661841477001.

It is not a de Polignac number, because 1007741481663 - 2¹⁰ = 1007741480639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007741480663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153806 + ... + 1829412.

It is an arithmetic number, because the mean of its divisors is an integer number (33246669680).

Almost surely, 2^{1007741481663} is an apocalyptic number.

1007741481663 is a deficient number, since it is larger than the sum of its proper divisors (588098662977).

1007741481663 is a wasteful number, since it uses less digits than its factorization.

1007741481663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675836 (or 675829 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1007741481663 in words is "one trillion, seven billion, seven hundred forty-one million, four hundred eighty-one thousand, six hundred sixty-three".