13019456000 has 80 divisors (see below), whose sum is σ = 32464986840. Its totient is φ = 5207756800.

The previous prime is 13019455997. The next prime is 13019456017. The reversal of 13019456000 is 65491031.

It can be written as a sum of positive squares in 4 ways, for example, as 686020864 + 12333435136 = 26192^2 + 111056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37715 + ... + 165714.

Almost surely, 2^13019456000 is an apocalyptic number.

13019456000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13019456000 is an abundant number, since it is smaller than the sum of its proper divisors (19445530840).

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

13019456000 is an frugal number, since it uses more digits than its factorization.

13019456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203462 (or 203436 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 13019456000 in words is "thirteen billion, nineteen million, four hundred fifty-six thousand".