2142144112464 has 40 divisors (see below), whose sum is σ = 6148746990720. Its totient is φ = 714048037344.

The previous prime is 2142144112453. The next prime is 2142144112477. The reversal of 2142144112464 is 4642114412412.

2142144112464 is a `hidden beast` number, since 2 + 1 + 4 + 214 + 411 + 24 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479333032 + ... + 2479333895.

It is an arithmetic number, because the mean of its divisors is an integer number (153718674768).

Almost surely, 2^{2142144112464} is an apocalyptic number.

2142144112464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142144112464 is an abundant number, since it is smaller than the sum of its proper divisors (4006602878256).

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

2142144112464 is a wasteful number, since it uses less digits than its factorization.

2142144112464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958666944 (or 4958666932 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 2142144112464 its reverse (4642114412412), we get a palindrome (6784258524876).

The spelling of 2142144112464 in words is "two trillion, one hundred forty-two billion, one hundred forty-four million, one hundred twelve thousand, four hundred sixty-four".