11540639948544 has 432 divisors, whose sum is σ = 38948004659200. Its totient is φ = 3285097482240.

The previous prime is 11540639948543. The next prime is 11540639948549. The reversal of 11540639948544 is 44584993604511.

11540639948544 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 63 + 99 + 485 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540639948543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214136769 + ... + 214190655.

Almost surely, 2^{11540639948544} is an apocalyptic number.

11540639948544 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 11540639948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474002329600).

11540639948544 is an abundant number, since it is smaller than the sum of its proper divisors (27407364710656).

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

11540639948544 is an equidigital number, since it uses as much as digits as its factorization.

11540639948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54201 (or 54170 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 11540639948544 in words is "eleven trillion, five hundred forty billion, six hundred thirty-nine million, nine hundred forty-eight thousand, five hundred forty-four".