11924399456256 has 960 divisors, whose sum is σ = 39983423040000. Its totient is φ = 3153718149120.

The previous prime is 11924399456237. The next prime is 11924399456257. The reversal of 11924399456256 is 65265499342911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11924399456257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384658046961 + ... + 384658046991.

It is an arithmetic number, because the mean of its divisors is an integer number (41649399000).

Almost surely, 2^{11924399456256} is an apocalyptic number.

11924399456256 is a gapful number since it is divisible by the number (16) 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 11924399456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19991711520000).

11924399456256 is an abundant number, since it is smaller than the sum of its proper divisors (28059023583744).

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

11924399456256 is an frugal number, since it uses more digits than its factorization.

11924399456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 66 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 66.

The spelling of 11924399456256 in words is "eleven trillion, nine hundred twenty-four billion, three hundred ninety-nine million, four hundred fifty-six thousand, two hundred fifty-six".