2312444442132 has 216 divisors, whose sum is σ = 6752177720288. Its totient is φ = 665943949440.

The previous prime is 2312444442131. The next prime is 2312444442137.

2312444442132 is a `hidden beast` number, since 23 + 1 + 24 + 44 + 442 + 132 = 666.

2312444442132 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (2312444442131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6763563 + ... + 7097229.

Almost surely, 2^{2312444442132} is an apocalyptic number.

2312444442132 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 2312444442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376088860144).

2312444442132 is an abundant number, since it is smaller than the sum of its proper divisors (4439733278156).

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

2312444442132 is a wasteful number, since it uses less digits than its factorization.

2312444442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333779 (or 333763 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2312 and 444442132, that added together give a palindrome (444444444).

The spelling of 2312444442132 in words is "two trillion, three hundred twelve billion, four hundred forty-four million, four hundred forty-two thousand, one hundred thirty-two".