11274824181264 has 160 divisors (see below), whose sum is σ = 34204434990336. Its totient is φ = 3132737648640.

The previous prime is 11274824181241. The next prime is 11274824181281. The reversal of 11274824181264 is 46218142847211.

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

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, 24599634 + ... + 25053774.

Almost surely, 2^{11274824181264} is an apocalyptic number.

11274824181264 is a gapful number since it is divisible by the number (14) 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 11274824181264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102217495168).

11274824181264 is an abundant number, since it is smaller than the sum of its proper divisors (22929610809072).

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

11274824181264 is a wasteful number, since it uses less digits than its factorization.

11274824181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456193 (or 456187 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The spelling of 11274824181264 in words is "eleven trillion, two hundred seventy-four billion, eight hundred twenty-four million, one hundred eighty-one thousand, two hundred sixty-four".