8300454864601 has 9 divisors (see below), whose sum is σ = 8407084428351. Its totient is φ = 8195161093704.

The previous prime is 8300454864547. The next prime is 8300454864673. The reversal of 8300454864601 is 1064684540038.

The square root of 8300454864601 is 2881051.

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

It can be written as a sum of positive squares in only one way, i.e., 2839727152201 + 5460727712400 = 1685149^2 + 2336820^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8300454864601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8300454864701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227584795 + ... + 227621263.

It is an arithmetic number, because the mean of its divisors is an integer number (934120492039).

Almost surely, 2^{8300454864601} is an apocalyptic number.

8300454864601 is the 2881051-st square number.

8300454864601 is the 1440526-th centered octagonal number.

It is an amenable number.

8300454864601 is a deficient number, since it is larger than the sum of its proper divisors (106629563750).

8300454864601 is an frugal number, since it uses more digits than its factorization.

8300454864601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73096 (or 36548 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 8300454864601 by its sum of digits (49), we get a square (406722288365449 = 20167357²).

The spelling of 8300454864601 in words is "eight trillion, three hundred billion, four hundred fifty-four million, eight hundred sixty-four thousand, six hundred one".