851454644049 has 135 divisors (see below), whose sum is σ = 1397222406657. Its totient is φ = 516617968896.

The previous prime is 851454644017. The next prime is 851454644063. The reversal of 851454644049 is 940446454158.

The square root of 851454644049 is 922743.

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

851454644049 is a `hidden beast` number, since 8 + 5 + 14 + 546 + 4 + 40 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396072611649 + 455382032400 = 629343^2 + 674820^2 .

It is not a de Polignac number, because 851454644049 - 2⁵ = 851454644017 is a prime.

It is a super-2 number, since 2×851454644049² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 851454643986 and 851454644004.

It is not an unprimeable number, because it can be changed into a prime (851454644149) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5223648042 + ... + 5223648204.

Almost surely, 2^851454644049 is an apocalyptic number.

851454644049 is the 922743-rd square number.

851454644049 is the 461372-nd centered octagonal number.

It is an amenable number.

851454644049 is a deficient number, since it is larger than the sum of its proper divisors (545767762608).

851454644049 is an equidigital number, since it uses as much as digits as its factorization.

851454644049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 851454644049 in words is "eight hundred fifty-one billion, four hundred fifty-four million, six hundred forty-four thousand, forty-nine".