8357100448225 has 27 divisors (see below), whose sum is σ = 10733002992907. Its totient is φ = 6454815879680.

The previous prime is 8357100448201. The next prime is 8357100448243. The reversal of 8357100448225 is 5228440017538.

The square root of 8357100448225 is 2890865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7547201245089 + 809899203136 = 2747217^2 + 899944^2 .

It is not a de Polignac number, because 8357100448225 - 2³¹ = 8354952964577 is a prime.

It is a super-2 number, since 2×8357100448225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419165457 + ... + 419185393.

Almost surely, 2^{8357100448225} is an apocalyptic number.

8357100448225 is the 2890865-th square number.

8357100448225 is the 1445433-rd centered octagonal number.

It is an amenable number.

8357100448225 is a deficient number, since it is larger than the sum of its proper divisors (2375902544682).

8357100448225 is an frugal number, since it uses more digits than its factorization.

8357100448225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39942 (or 19971 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

Multiplying 8357100448225 by its sum of digits (49), we get a square (409497921963025 = 20236055²).

The spelling of 8357100448225 in words is "eight trillion, three hundred fifty-seven billion, one hundred million, four hundred forty-eight thousand, two hundred twenty-five".