1671768081004 has 48 divisors (see below), whose sum is σ = 3458339329536. Its totient is φ = 692210678400.

The previous prime is 1671768080989. The next prime is 1671768081007. The reversal of 1671768081004 is 4001808671761.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1671768081007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6950902 + ... + 7187389.

It is an arithmetic number, because the mean of its divisors is an integer number (72048736032).

Almost surely, 2^{1671768081004} is an apocalyptic number.

1671768081004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1671768081004 is an abundant number, since it is smaller than the sum of its proper divisors (1786571248532).

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

1671768081004 is a wasteful number, since it uses less digits than its factorization.

1671768081004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138446 (or 14138444 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 49.

The spelling of 1671768081004 in words is "one trillion, six hundred seventy-one billion, seven hundred sixty-eight million, eighty-one thousand, four".