8014401114561 has 48 divisors (see below), whose sum is σ = 11778911846208. Its totient is φ = 5249868624000.

The previous prime is 8014401114539. The next prime is 8014401114571. The reversal of 8014401114561 is 1654111044108.

8014401114561 is a `hidden beast` number, since 8 + 0 + 1 + 440 + 11 + 145 + 61 = 666.

It is not a de Polignac number, because 8014401114561 - 2²¹ = 8014399017409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8014401114521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400289731 + ... + 400309751.

It is an arithmetic number, because the mean of its divisors is an integer number (245393996796).

Almost surely, 2^{8014401114561} is an apocalyptic number.

It is an amenable number.

8014401114561 is a deficient number, since it is larger than the sum of its proper divisors (3764510731647).

8014401114561 is a wasteful number, since it uses less digits than its factorization.

8014401114561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 21739 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 8014401114561 its reverse (1654111044108), we get a palindrome (9668512158669).

The spelling of 8014401114561 in words is "eight trillion, fourteen billion, four hundred one million, one hundred fourteen thousand, five hundred sixty-one".