2144227717632 has 1280 divisors, whose sum is σ = 7884295372800. Its totient is φ = 499973160960.

The previous prime is 2144227717601. The next prime is 2144227717637. The reversal of 2144227717632 is 2367177224412.

It is a super-2 number, since 2×2144227717632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (2144227717637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15426098619 + ... + 15426098757.

It is an arithmetic number, because the mean of its divisors is an integer number (6159605760).

Almost surely, 2^{2144227717632} is an apocalyptic number.

2144227717632 is a gapful number since it is divisible by the number (22) 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 2144227717632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942147686400).

2144227717632 is an abundant number, since it is smaller than the sum of its proper divisors (5740067655168).

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

2144227717632 is a wasteful number, since it uses less digits than its factorization.

2144227717632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The spelling of 2144227717632 in words is "two trillion, one hundred forty-four billion, two hundred twenty-seven million, seven hundred seventeen thousand, six hundred thirty-two".