281672781696 has 256 divisors, whose sum is σ = 848638368000. Its totient is φ = 91947902976.

The previous prime is 281672781673. The next prime is 281672781697. The reversal of 281672781696 is 696187276182.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281672781697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56478915 + ... + 56483901.

It is an arithmetic number, because the mean of its divisors is an integer number (3314993625).

Almost surely, 2^281672781696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281672781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424319184000).

281672781696 is an abundant number, since it is smaller than the sum of its proper divisors (566965586304).

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

281672781696 is a wasteful number, since it uses less digits than its factorization.

281672781696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5328 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 281672781696 in words is "two hundred eighty-one billion, six hundred seventy-two million, seven hundred eighty-one thousand, six hundred ninety-six".