1267995214464 has 512 divisors, whose sum is σ = 3947993395200. Its totient is φ = 356327424000.

The previous prime is 1267995214457. The next prime is 1267995214483. The reversal of 1267995214464 is 4644125997621.

It is a junction number, because it is equal to n+sod(n) for n = 1267995214398 and 1267995214407.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2603686029 + ... + 2603686515.

It is an arithmetic number, because the mean of its divisors is an integer number (7710924600).

Almost surely, 2^{1267995214464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267995214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973996697600).

1267995214464 is an abundant number, since it is smaller than the sum of its proper divisors (2679998180736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1267995214464 is a wasteful number, since it uses less digits than its factorization.

1267995214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 1267995214464 in words is "one trillion, two hundred sixty-seven billion, nine hundred ninety-five million, two hundred fourteen thousand, four hundred sixty-four".