2144150362368 has 2160 divisors, whose sum is σ = 8548585879680. Its totient is φ = 521042264064.

The previous prime is 2144150362309. The next prime is 2144150362369. The reversal of 2144150362368 is 8632630514412.

2144150362368 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 15 + 0 + 3 + 623 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2144150362369) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 25833136855 + ... + 25833136937.

It is an arithmetic number, because the mean of its divisors is an integer number (3957678648).

Almost surely, 2^{2144150362368} is an apocalyptic number.

2144150362368 is a gapful number since it is divisible by the number (28) 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 2144150362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274292939840).

2144150362368 is an abundant number, since it is smaller than the sum of its proper divisors (6404435517312).

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

2144150362368 is a wasteful number, since it uses less digits than its factorization.

2144150362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2144150362368 in words is "two trillion, one hundred forty-four billion, one hundred fifty million, three hundred sixty-two thousand, three hundred sixty-eight".