282132573644160 has 96 divisors (see below), whose sum is σ = 974239043384880. Its totient is φ = 75235352970240.

The previous prime is 282132573644093. The next prime is 282132573644167. The reversal of 282132573644160 is 61446375231282.

282132573644160 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 3 + 2 + 573 + 6 + 4 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×282132573644160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 282132573644097 and 282132573644106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282132573644167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24490669036 + ... + 24490680555.

Almost surely, 2^{282132573644160} is an apocalyptic number.

282132573644160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282132573644160 is an abundant number, since it is smaller than the sum of its proper divisors (692106469740720).

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

282132573644160 is a wasteful number, since it uses less digits than its factorization.

282132573644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48981349616 (or 48981349601 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 282132573644160 in words is "two hundred eighty-two trillion, one hundred thirty-two billion, five hundred seventy-three million, six hundred forty-four thousand, one hundred sixty".