84791849646001 has 3 divisors (see below), whose sum is σ = 84791858854251. Its totient is φ = 84791840437752.

The previous prime is 84791849645957. The next prime is 84791849646107. The reversal of 84791849646001 is 10064694819748.

The square root of 84791849646001 is 9208249.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7443342606001 + 77348507040000 = 2728249^2 + 8794800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84791849646001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84791849686001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4604125 + ... + 13812373.

It is an arithmetic number, because the mean of its divisors is an integer number (28263952951417).

Almost surely, 2^{84791849646001} is an apocalyptic number.

84791849646001 is the 9208249-th square number.

84791849646001 is the 4604125-th centered octagonal number.

It is an amenable number.

84791849646001 is a deficient number, since it is larger than the sum of its proper divisors (9208250).

84791849646001 is an frugal number, since it uses more digits than its factorization.

84791849646001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416498 (or 9208249 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 84791849646001 in words is "eighty-four trillion, seven hundred ninety-one billion, eight hundred forty-nine million, six hundred forty-six thousand, one".