282116451726720 has 320 divisors, whose sum is σ = 1084987926847440. Its totient is φ = 69444049489920.

The previous prime is 282116451726689. The next prime is 282116451726731. The reversal of 282116451726720 is 27627154611282.

282116451726720 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 1 + 64 + 517 + 2 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 208636126 + ... + 209983965.

Almost surely, 2^{282116451726720} is an apocalyptic number.

282116451726720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282116451726720 is an abundant number, since it is smaller than the sum of its proper divisors (802871475120720).

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

282116451726720 is a wasteful number, since it uses less digits than its factorization.

282116451726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418620135 (or 418620114 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 282116451726720 in words is "two hundred eighty-two trillion, one hundred sixteen billion, four hundred fifty-one million, seven hundred twenty-six thousand, seven hundred twenty".