1319720931648 has 168 divisors, whose sum is σ = 4483249872192. Its totient is φ = 377063092224.

The previous prime is 1319720931623. The next prime is 1319720931649. The reversal of 1319720931648 is 8461390279131.

1319720931648 is a `hidden beast` number, since 1 + 31 + 97 + 209 + 316 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1319720931594 and 1319720931603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319720931649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5952465 + ... + 6170192.

It is an arithmetic number, because the mean of its divisors is an integer number (26686011144).

Almost surely, 2^{1319720931648} is an apocalyptic number.

1319720931648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1319720931648 is an abundant number, since it is smaller than the sum of its proper divisors (3163528940544).

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

1319720931648 is an equidigital number, since it uses as much as digits as its factorization.

1319720931648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122691 (or 12122669 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1319720931648 in words is "one trillion, three hundred nineteen billion, seven hundred twenty million, nine hundred thirty-one thousand, six hundred forty-eight".