11442163824 has 240 divisors, whose sum is σ = 39501402304. Its totient is φ = 3010867200.

The previous prime is 11442163787. The next prime is 11442163841. The reversal of 11442163824 is 42836124411.

11442163824 is a `hidden beast` number, since 1 + 14 + 4 + 2 + 1 + 638 + 2 + 4 = 666.

It is a super-2 number, since 2×11442163824² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8661084 + ... + 8662404.

Almost surely, 2^11442163824 is an apocalyptic number.

11442163824 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 11442163824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750701152).

11442163824 is an abundant number, since it is smaller than the sum of its proper divisors (28059238480).

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

11442163824 is a wasteful number, since it uses less digits than its factorization.

11442163824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 11442163824 in words is "eleven billion, four hundred forty-two million, one hundred sixty-three thousand, eight hundred twenty-four".