1264688289792 has 288 divisors, whose sum is σ = 3859073290800. Its totient is φ = 397902938112.

The previous prime is 1264688289769. The next prime is 1264688289817. The reversal of 1264688289792 is 2979828864621.

1264688289792 is a `hidden beast` number, since 1 + 2 + 6 + 468 + 82 + 89 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1264688289792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97001098 + ... + 97014134.

Almost surely, 2^{1264688289792} is an apocalyptic number.

1264688289792 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 1264688289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929536645400).

1264688289792 is an abundant number, since it is smaller than the sum of its proper divisors (2594385001008).

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

1264688289792 is a wasteful number, since it uses less digits than its factorization.

1264688289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13338 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 1264688289792 in words is "one trillion, two hundred sixty-four billion, six hundred eighty-eight million, two hundred eighty-nine thousand, seven hundred ninety-two".