1271164883904 has 42 divisors (see below), whose sum is σ = 3643564625480. Its totient is φ = 423721627776.

The previous prime is 1271164883899. The next prime is 1271164883909. The reversal of 1271164883904 is 4093884611721.

1271164883904 is a `hidden beast` number, since 1 + 2 + 71 + 1 + 6 + 488 + 3 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1271164883899) and next prime (1271164883909).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271164883909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1103441164 + ... + 1103442315.

Almost surely, 2^{1271164883904} is an apocalyptic number.

It is an amenable number.

1271164883904 is an abundant number, since it is smaller than the sum of its proper divisors (2372399741576).

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

1271164883904 is a wasteful number, since it uses less digits than its factorization.

1271164883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206883497 (or 2206883484 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1271164883904 in words is "one trillion, two hundred seventy-one billion, one hundred sixty-four million, eight hundred eighty-three thousand, nine hundred four".