2438015832001 has 16 divisors (see below), whose sum is σ = 2486495264400. Its totient is φ = 2389629535488.

The previous prime is 2438015831959. The next prime is 2438015832013. The reversal of 2438015832001 is 1002385108342.

It can be written as a sum of positive squares in 8 ways, for example, as 92367366400 + 2345648465601 = 303920^2 + 1531551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2438015832001 - 2⁷ = 2438015831873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2438015832701) 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, 342944235 + ... + 342951343.

It is an arithmetic number, because the mean of its divisors is an integer number (155405954025).

Almost surely, 2^{2438015832001} is an apocalyptic number.

It is an amenable number.

2438015832001 is a deficient number, since it is larger than the sum of its proper divisors (48479432399).

2438015832001 is a wasteful number, since it uses less digits than its factorization.

2438015832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 2438015832001 in words is "two trillion, four hundred thirty-eight billion, fifteen million, eight hundred thirty-two thousand, one".