1311390229464 has 192 divisors, whose sum is σ = 4080993546240. Its totient is φ = 372663728640.

The previous prime is 1311390229459. The next prime is 1311390229483. The reversal of 1311390229464 is 4649220931131.

1311390229464 is a `hidden beast` number, since 1 + 31 + 1 + 390 + 229 + 4 + 6 + 4 = 666.

It is a congruent number.

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, 79726089 + ... + 79742535.

It is an arithmetic number, because the mean of its divisors is an integer number (21255174720).

Almost surely, 2^{1311390229464} is an apocalyptic number.

1311390229464 is a gapful number since it is divisible by the number (14) 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 1311390229464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040496773120).

1311390229464 is an abundant number, since it is smaller than the sum of its proper divisors (2769603316776).

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

1311390229464 is a wasteful number, since it uses less digits than its factorization.

1311390229464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17310 (or 17303 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1311390229464 in words is "one trillion, three hundred eleven billion, three hundred ninety million, two hundred twenty-nine thousand, four hundred sixty-four".