8123948093521 has 8 divisors (see below), whose sum is σ = 8749097985320. Its totient is φ = 7498831174272.

The previous prime is 8123948093509. The next prime is 8123948093563. The reversal of 8123948093521 is 1253908493218.

It can be written as a sum of positive squares in 4 ways, for example, as 11334583296 + 8112613510225 = 106464^2 + 2848265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8123948093521 - 2²³ = 8123939704913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8123948093501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7730226 + ... + 8718043.

It is an arithmetic number, because the mean of its divisors is an integer number (1093637248165).

Almost surely, 2^{8123948093521} is an apocalyptic number.

It is an amenable number.

8123948093521 is a deficient number, since it is larger than the sum of its proper divisors (625149891799).

8123948093521 is a wasteful number, since it uses less digits than its factorization.

8123948093521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486275.

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 8123948093521 in words is "eight trillion, one hundred twenty-three billion, nine hundred forty-eight million, ninety-three thousand, five hundred twenty-one".