4632126101344 has 96 divisors (see below), whose sum is σ = 10774483163136. Its totient is φ = 1918301736960.

The previous prime is 4632126101233. The next prime is 4632126101387. The reversal of 4632126101344 is 4431016212364.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4177719 + ... + 5168905.

It is an arithmetic number, because the mean of its divisors is an integer number (112234199616).

Almost surely, 2^{4632126101344} 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 4632126101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387241581568).

4632126101344 is an abundant number, since it is smaller than the sum of its proper divisors (6142357061792).

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

4632126101344 is a wasteful number, since it uses less digits than its factorization.

4632126101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991908 (or 991900 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 4632126101344 in words is "four trillion, six hundred thirty-two billion, one hundred twenty-six million, one hundred one thousand, three hundred forty-four".