1331464173696 has 384 divisors, whose sum is σ = 4128752409600. Its totient is φ = 411020697600.

The previous prime is 1331464173679. The next prime is 1331464173703. The reversal of 1331464173696 is 6963714641331.

1331464173696 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 464 + 173 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80593725 + ... + 80610243.

It is an arithmetic number, because the mean of its divisors is an integer number (10751959400).

Almost surely, 2^{1331464173696} is an apocalyptic number.

1331464173696 is a gapful number since it is divisible by the number (16) 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 1331464173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064376204800).

1331464173696 is an abundant number, since it is smaller than the sum of its proper divisors (2797288235904).

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

1331464173696 is a wasteful number, since it uses less digits than its factorization.

1331464173696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668 (or 16653 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 1331464173696 in words is "one trillion, three hundred thirty-one billion, four hundred sixty-four million, one hundred seventy-three thousand, six hundred ninety-six".