281680828416 has 432 divisors, whose sum is σ = 909669458880. Its totient is φ = 83846430720.

The previous prime is 281680828409. The next prime is 281680828487. The reversal of 281680828416 is 614828086182.

281680828416 is a `hidden beast` number, since 281 + 6 + 80 + 8 + 284 + 1 + 6 = 666.

It is a super-3 number, since 3×281680828416³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96563790 + ... + 96566706.

It is an arithmetic number, because the mean of its divisors is an integer number (2105716340).

Almost surely, 2^281680828416 is an apocalyptic number.

281680828416 is a gapful number since it is divisible by the number (26) 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 281680828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454834729440).

281680828416 is an abundant number, since it is smaller than the sum of its proper divisors (627988630464).

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

281680828416 is a wasteful number, since it uses less digits than its factorization.

281680828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 281680828416 in words is "two hundred eighty-one billion, six hundred eighty million, eight hundred twenty-eight thousand, four hundred sixteen".