11914434680256 has 336 divisors, whose sum is σ = 35886981312000. Its totient is φ = 3918662572032.

The previous prime is 11914434680237. The next prime is 11914434680377. The reversal of 11914434680256 is 65208643441911.

11914434680256 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 44 + 346 + 8 + 0 + 256 = 666.

It is a super-3 number, since 3×11914434680256³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3316011196 + ... + 3316014788.

It is an arithmetic number, because the mean of its divisors is an integer number (106806492000).

Almost surely, 2^{11914434680256} is an apocalyptic number.

11914434680256 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 11914434680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943490656000).

11914434680256 is an abundant number, since it is smaller than the sum of its proper divisors (23972546631744).

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

11914434680256 is an equidigital number, since it uses as much as digits as its factorization.

11914434680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11914434680256 in words is "eleven trillion, nine hundred fourteen billion, four hundred thirty-four million, six hundred eighty thousand, two hundred fifty-six".