4632126212364 has 48 divisors (see below), whose sum is σ = 13078944603648. Its totient is φ = 1245613771008.

The previous prime is 4632126212359. The next prime is 4632126212369.

It is a happy number.

4632126212364 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4632126212359) and next prime (4632126212369).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (4632126212369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621891504 + ... + 1621894359.

It is an arithmetic number, because the mean of its divisors is an integer number (272478012576).

Almost surely, 2^{4632126212364} is an apocalyptic number.

It is an amenable number.

4632126212364 is an abundant number, since it is smaller than the sum of its proper divisors (8446818391284).

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

4632126212364 is a wasteful number, since it uses less digits than its factorization.

4632126212364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243785894 (or 3243785892 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 4632126212364 in words is "four trillion, six hundred thirty-two billion, one hundred twenty-six million, two hundred twelve thousand, three hundred sixty-four".