2144716251216 has 240 divisors, whose sum is σ = 6963230074752. Its totient is φ = 556809707520.

The previous prime is 2144716251191. The next prime is 2144716251343. The reversal of 2144716251216 is 6121526174412.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 96628216 + ... + 96650408.

Almost surely, 2^{2144716251216} 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 2144716251216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481615037376).

2144716251216 is an abundant number, since it is smaller than the sum of its proper divisors (4818513823536).

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

2144716251216 is a wasteful number, since it uses less digits than its factorization.

2144716251216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24593 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

It can be divided in two parts, 2144716 and 251216, that added together give a palindrome (2395932).

The spelling of 2144716251216 in words is "two trillion, one hundred forty-four billion, seven hundred sixteen million, two hundred fifty-one thousand, two hundred sixteen".