1349693171904 has 672 divisors, whose sum is σ = 4595303301120. Its totient is φ = 342116628480.

The previous prime is 1349693171887. The next prime is 1349693171923. The reversal of 1349693171904 is 4091713969431.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1563954577 + ... + 1563955439.

It is an arithmetic number, because the mean of its divisors is an integer number (6838248960).

Almost surely, 2^{1349693171904} is an apocalyptic number.

1349693171904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349693171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297651650560).

1349693171904 is an abundant number, since it is smaller than the sum of its proper divisors (3245610129216).

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

1349693171904 is a wasteful number, since it uses less digits than its factorization.

1349693171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 1349693171904 in words is "one trillion, three hundred forty-nine billion, six hundred ninety-three million, one hundred seventy-one thousand, nine hundred four".