14282655048000 has 896 divisors, whose sum is σ = 55554749952000. Its totient is φ = 3586166784000.

The previous prime is 14282655047993. The next prime is 14282655048017. The reversal of 14282655048000 is 84055628241.

14282655048000 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 2 + 65 + 504 + 80 + 0 + 0 = 666.

It is a super-4 number, since 4×14282655048000⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247723176 + ... + 247780824.

Almost surely, 2^{14282655048000} is an apocalyptic number.

14282655048000 is a gapful number since it is divisible by the number (10) 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 14282655048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777374976000).

14282655048000 is an abundant number, since it is smaller than the sum of its proper divisors (41272094904000).

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

14282655048000 is a wasteful number, since it uses less digits than its factorization.

14282655048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57753 (or 57727 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14282655048000 in words is "fourteen trillion, two hundred eighty-two billion, six hundred fifty-five million, forty-eight thousand".