8001138801 has 16 divisors (see below), whose sum is σ = 10753732800. Its totient is φ = 5291374848.

The previous prime is 8001138709. The next prime is 8001138833. The reversal of 8001138801 is 1088311008.

It is a de Polignac number, because none of the positive numbers 2^k-8001138801 is a prime.

It is a super-2 number, since 2×8001138801² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8001138841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642805 + ... + 655133.

It is an arithmetic number, because the mean of its divisors is an integer number (672108300).

Almost surely, 2^8001138801 is an apocalyptic number.

It is an amenable number.

8001138801 is a deficient number, since it is larger than the sum of its proper divisors (2752593999).

8001138801 is a wasteful number, since it uses less digits than its factorization.

8001138801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048.

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 8001138801 is about 89449.0849645764. The cubic root of 8001138801 is about 2000.0948955807.

Adding to 8001138801 its reverse (1088311008), we get a palindrome (9089449809).

The spelling of 8001138801 in words is "eight billion, one million, one hundred thirty-eight thousand, eight hundred one".