11279486404032 has 448 divisors, whose sum is σ = 37746939187200. Its totient is φ = 2887337041920.

The previous prime is 11279486404009. The next prime is 11279486404037. The reversal of 11279486404032 is 23040468497211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11279486404037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1704104019 + ... + 1704110637.

Almost surely, 2^{11279486404032} is an apocalyptic number.

11279486404032 is a gapful number since it is divisible by the number (12) 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 11279486404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873469593600).

11279486404032 is an abundant number, since it is smaller than the sum of its proper divisors (26467452783168).

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

11279486404032 is a wasteful number, since it uses less digits than its factorization.

11279486404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 11279486404032 in words is "eleven trillion, two hundred seventy-nine billion, four hundred eighty-six million, four hundred four thousand, thirty-two".