14920377728256 has 2304 divisors, whose sum is σ = 60911697100800. Its totient is φ = 3521550090240.

The previous prime is 14920377728203. The next prime is 14920377728279. The reversal of 14920377728256 is 65282777302941.

It is a happy number.

14920377728256 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 0 + 377 + 7 + 2 + 8 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 14920377728193 and 14920377728202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44274117720 + ... + 44274118056.

It is a 1-persistent number, because it is pandigital, but 2⋅14920377728256 = 29840755456512 is not.

Almost surely, 2^{14920377728256} is an apocalyptic number.

14920377728256 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 14920377728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455848550400).

14920377728256 is an abundant number, since it is smaller than the sum of its proper divisors (45991319372544).

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

14920377728256 is an equidigital number, since it uses as much as digits as its factorization.

14920377728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 14920377728256 in words is "fourteen trillion, nine hundred twenty billion, three hundred seventy-seven million, seven hundred twenty-eight thousand, two hundred fifty-six".