1267873748001 has 135 divisors (see below), whose sum is σ = 2247587249193. Its totient is φ = 710190089280.

The previous prime is 1267873747963. The next prime is 1267873748021. The reversal of 1267873748001 is 1008473787621.

The square root of 1267873748001 is 1125999.

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

1267873748001 is a `hidden beast` number, since 1 + 26 + 78 + 73 + 7 + 480 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3544416225 + 1264329331776 = 59535^2 + 1124424^2 .

It is not a de Polignac number, because 1267873748001 - 2¹⁹ = 1267873223713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1267873748021) 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, 4327214011 + ... + 4327214303.

Almost surely, 2^{1267873748001} is an apocalyptic number.

1267873748001 is the 1125999-th square number.

1267873748001 is the 563000-th centered octagonal number.

It is an amenable number.

1267873748001 is a deficient number, since it is larger than the sum of its proper divisors (979713501192).

1267873748001 is an frugal number, since it uses more digits than its factorization.

1267873748001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1267873748001 in words is "one trillion, two hundred sixty-seven billion, eight hundred seventy-three million, seven hundred forty-eight thousand, one".