2144129251968 has 384 divisors, whose sum is σ = 6898970295360. Its totient is φ = 633559449600.

The previous prime is 2144129251951. The next prime is 2144129251969. The reversal of 2144129251968 is 8691529214412.

2144129251968 is a `hidden beast` number, since 2 + 1 + 4 + 41 + 29 + 2 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2144129251968³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2144129251969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360173280 + ... + 360179232.

Almost surely, 2^{2144129251968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144129251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449485147680).

2144129251968 is an abundant number, since it is smaller than the sum of its proper divisors (4754841043392).

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

2144129251968 is a wasteful number, since it uses less digits than its factorization.

2144129251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6673 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 2144129251968 in words is "two trillion, one hundred forty-four billion, one hundred twenty-nine million, two hundred fifty-one thousand, nine hundred sixty-eight".