11859714048 has 224 divisors, whose sum is σ = 38929153536. Its totient is φ = 3127246848.

The previous prime is 11859714023. The next prime is 11859714049. The reversal of 11859714048 is 84041795811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11859713988 and 11859714006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11859714049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2233765 + ... + 2239067.

It is an arithmetic number, because the mean of its divisors is an integer number (173790864).

Almost surely, 2^11859714048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11859714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464576768).

11859714048 is an abundant number, since it is smaller than the sum of its proper divisors (27069439488).

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

11859714048 is an equidigital number, since it uses as much as digits as its factorization.

11859714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 11859714048 in words is "eleven billion, eight hundred fifty-nine million, seven hundred fourteen thousand, forty-eight".