11271794863392 has 144 divisors (see below), whose sum is σ = 37623423644352. Its totient is φ = 3133471910400.

The previous prime is 11271794863391. The next prime is 11271794863421. The reversal of 11271794863392 is 29336849717211.

11271794863392 is a `hidden beast` number, since 1 + 1 + 27 + 17 + 9 + 486 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (11271794863391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75481734 + ... + 75630917.

It is an arithmetic number, because the mean of its divisors is an integer number (261273775308).

Almost surely, 2^{11271794863392} is an apocalyptic number.

11271794863392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11271794863392 is an abundant number, since it is smaller than the sum of its proper divisors (26351628780960).

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

11271794863392 is a wasteful number, since it uses less digits than its factorization.

11271794863392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151112711 (or 151112700 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 11271794863392 in words is "eleven trillion, two hundred seventy-one billion, seven hundred ninety-four million, eight hundred sixty-three thousand, three hundred ninety-two".