1268146613184 has 224 divisors, whose sum is σ = 3831638556672. Its totient is φ = 366651264000.

The previous prime is 1268146613171. The next prime is 1268146613203. The reversal of 1268146613184 is 4813166418621.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512109 + ... + 4784915.

Almost surely, 2^{1268146613184} 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 1268146613184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915819278336).

1268146613184 is an abundant number, since it is smaller than the sum of its proper divisors (2563491943488).

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

1268146613184 is a wasteful number, since it uses less digits than its factorization.

1268146613184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272935 (or 272925 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 1268146613184 in words is "one trillion, two hundred sixty-eight billion, one hundred forty-six million, six hundred thirteen thousand, one hundred eighty-four".