1267468420761 has 99 divisors (see below), whose sum is σ = 1966091107357. Its totient is φ = 817074397440.

The previous prime is 1267468420753. The next prime is 1267468420781. The reversal of 1267468420761 is 1670248647621.

The square root of 1267468420761 is 1125819.

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

1267468420761 is a `hidden beast` number, since 1 + 26 + 74 + 68 + 420 + 76 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1114787547225 + 152680873536 = 1055835^2 + 390744^2 .

It is not a de Polignac number, because 1267468420761 - 2³ = 1267468420753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1267468420698 and 1267468420707.

It is not an unprimeable number, because it can be changed into a prime (1267468420721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 11216534641 + ... + 11216534753.

Almost surely, 2^{1267468420761} is an apocalyptic number.

1267468420761 is the 1125819-th square number.

1267468420761 is the 562910-th centered octagonal number.

It is an amenable number.

1267468420761 is a deficient number, since it is larger than the sum of its proper divisors (698622686596).

1267468420761 is an frugal number, since it uses more digits than its factorization.

1267468420761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1267468420761 in words is "one trillion, two hundred sixty-seven billion, four hundred sixty-eight million, four hundred twenty thousand, seven hundred sixty-one".