1312344004608 has 1536 divisors, whose sum is σ = 5072191488000. Its totient is φ = 325989826560.

The previous prime is 1312344004607. The next prime is 1312344004627. The reversal of 1312344004608 is 8064004432131.

1312344004608 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 4 + 40 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312344004607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7331530663 + ... + 7331530841.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208000).

Almost surely, 2^{1312344004608} is an apocalyptic number.

1312344004608 is a gapful number since it is divisible by the number (18) 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 1312344004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744000).

1312344004608 is an abundant number, since it is smaller than the sum of its proper divisors (3759847483392).

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

1312344004608 is a wasteful number, since it uses less digits than its factorization.

1312344004608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 1312344004608 its reverse (8064004432131), we get a palindrome (9376348436739).

The spelling of 1312344004608 in words is "one trillion, three hundred twelve billion, three hundred forty-four million, four thousand, six hundred eight".