1271764881144 has 48 divisors (see below), whose sum is σ = 3491546292000. Its totient is φ = 418114479744.

The previous prime is 1271764881067. The next prime is 1271764881221. The reversal of 1271764881144 is 4411884671721.

1271764881144 is a `hidden beast` number, since 1 + 2 + 7 + 17 + 6 + 488 + 1 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (1271764881067) and next prime (1271764881221).

It is a super-2 number, since 2×1271764881144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 120976944 + ... + 120987455.

It is an arithmetic number, because the mean of its divisors is an integer number (72740547750).

Almost surely, 2^{1271764881144} is an apocalyptic number.

It is an amenable number.

1271764881144 is an abundant number, since it is smaller than the sum of its proper divisors (2219781410856).

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

1271764881144 is a wasteful number, since it uses less digits than its factorization.

1271764881144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241964484 (or 241964477 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 1271764881144 in words is "one trillion, two hundred seventy-one billion, seven hundred sixty-four million, eight hundred eighty-one thousand, one hundred forty-four".