1368872461152 has 288 divisors, whose sum is σ = 4752888940800. Its totient is φ = 364991007744.

The previous prime is 1368872461127. The next prime is 1368872461193. The reversal of 1368872461152 is 2511642788631.

It is a happy number.

1368872461152 is a `hidden beast` number, since 1 + 3 + 68 + 8 + 72 + 461 + 1 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2299674 + ... + 2833062.

It is an arithmetic number, because the mean of its divisors is an integer number (16503086600).

Almost surely, 2^{1368872461152} is an apocalyptic number.

1368872461152 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 1368872461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376444470400).

1368872461152 is an abundant number, since it is smaller than the sum of its proper divisors (3384016479648).

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

1368872461152 is a wasteful number, since it uses less digits than its factorization.

1368872461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533498 (or 533487 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1368872461152 in words is "one trillion, three hundred sixty-eight billion, eight hundred seventy-two million, four hundred sixty-one thousand, one hundred fifty-two".