20413154464001 has 16 divisors (see below), whose sum is σ = 22768878022800. Its totient is φ = 18171210048768.

The previous prime is 20413154463997. The next prime is 20413154464007. The reversal of 20413154464001 is 10046445131402.

It can be written as a sum of positive squares in 8 ways, for example, as 505629077776 + 19907525386225 = 711076^2 + 4461785^2 .

It is a cyclic number.

It is not a de Polignac number, because 20413154464001 - 2² = 20413154463997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20413154464007) 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, 32345066 + ... + 32970131.

It is an arithmetic number, because the mean of its divisors is an integer number (1423054876425).

Almost surely, 2^{20413154464001} is an apocalyptic number.

It is an amenable number.

20413154464001 is a deficient number, since it is larger than the sum of its proper divisors (2355723558799).

20413154464001 is a wasteful number, since it uses less digits than its factorization.

20413154464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65316068.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 20413154464001 its reverse (10046445131402), we get a palindrome (30459599595403).

The spelling of 20413154464001 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-four million, four hundred sixty-four thousand, one".