1267784034048 has 864 divisors, whose sum is σ = 4519093662720. Its totient is φ = 349340221440.

The previous prime is 1267784034043. The next prime is 1267784034059. The reversal of 1267784034048 is 8404304877621.

1267784034048 is a `hidden beast` number, since 126 + 7 + 78 + 40 + 3 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1267784033985 and 1267784034003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267784034043) 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 95 ways as a sum of consecutive naturals, for example, 1162037983 + ... + 1162039073.

It is an arithmetic number, because the mean of its divisors is an integer number (5230432480).

Almost surely, 2^{1267784034048} is an apocalyptic number.

1267784034048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267784034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259546831360).

1267784034048 is an abundant number, since it is smaller than the sum of its proper divisors (3251309628672).

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

1267784034048 is a wasteful number, since it uses less digits than its factorization.

1267784034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 1267784034048 in words is "one trillion, two hundred sixty-seven billion, seven hundred eighty-four million, thirty-four thousand, forty-eight".