1461161768 has 32 divisors (see below), whose sum is σ = 3008560320. Its totient is φ = 659760000.

The previous prime is 1461161759. The next prime is 1461161773. The reversal of 1461161768 is 8671611641.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 41693 + ... + 68268.

It is an arithmetic number, because the mean of its divisors is an integer number (94017510).

Almost surely, 2^1461161768 is an apocalyptic number.

It is an amenable number.

1461161768 is an abundant number, since it is smaller than the sum of its proper divisors (1547398552).

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

1461161768 is a wasteful number, since it uses less digits than its factorization.

1461161768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110129 (or 110125 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 1461161768 is about 38225.1457551178. The cubic root of 1461161768 is about 1134.7480193854.

The spelling of 1461161768 in words is "one billion, four hundred sixty-one million, one hundred sixty-one thousand, seven hundred sixty-eight".