1314654803712 has 144 divisors (see below), whose sum is σ = 3890635529760. Its totient is φ = 437883494400.

The previous prime is 1314654803677. The next prime is 1314654803719. The reversal of 1314654803712 is 2173084564131.

1314654803712 is a `hidden beast` number, since 1 + 31 + 4 + 6 + 548 + 0 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314654803719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9058762 + ... + 9202742.

It is an arithmetic number, because the mean of its divisors is an integer number (27018302290).

Almost surely, 2^{1314654803712} is an apocalyptic number.

1314654803712 is a gapful number since it is divisible by the number (12) 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 1314654803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945317764880).

1314654803712 is an abundant number, since it is smaller than the sum of its proper divisors (2575980726048).

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

1314654803712 is a wasteful number, since it uses less digits than its factorization.

1314654803712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145327 (or 145307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1314654803712 in words is "one trillion, three hundred fourteen billion, six hundred fifty-four million, eight hundred three thousand, seven hundred twelve".