11814533640 has 1152 divisors, whose sum is σ = 53121519360. Its totient is φ = 2297714688.

The previous prime is 11814533611. The next prime is 11814533663. The reversal of 11814533640 is 4633541811.

11814533640 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 4 + 5 + 3 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11814533595 and 11814533604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319311702 + ... + 319311738.

It is an arithmetic number, because the mean of its divisors is an integer number (46112430).

Almost surely, 2^11814533640 is an apocalyptic number.

11814533640 is a gapful number since it is divisible by the number (10) 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 11814533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

11814533640 is an abundant number, since it is smaller than the sum of its proper divisors (41306985720).

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

11814533640 is a wasteful number, since it uses less digits than its factorization.

11814533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11814533640 in words is "eleven billion, eight hundred fourteen million, five hundred thirty-three thousand, six hundred forty".