11268142464 has 128 divisors (see below), whose sum is σ = 30661102080. Its totient is φ = 3664926720.

The previous prime is 11268142439. The next prime is 11268142493. The reversal of 11268142464 is 46424186211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 7597467 + ... + 7598949.

It is an arithmetic number, because the mean of its divisors is an integer number (239539860).

Almost surely, 2^11268142464 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 11268142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330551040).

11268142464 is an abundant number, since it is smaller than the sum of its proper divisors (19392959616).

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

11268142464 is a wasteful number, since it uses less digits than its factorization.

11268142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The spelling of 11268142464 in words is "eleven billion, two hundred sixty-eight million, one hundred forty-two thousand, four hundred sixty-four".