281939418806472 has 480 divisors, whose sum is σ = 982821175776000. Its totient is φ = 75063363137280.

The previous prime is 281939418806333. The next prime is 281939418806473. The reversal of 281939418806472 is 274608814939182.

It is a happy number.

281939418806472 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 3 + 9 + 418 + 80 + 64 + 72 = 666.

It is a super-3 number, since 3×281939418806472³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 281939418806472.

It is not an unprimeable number, because it can be changed into a prime (281939418806473) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32969929 + ... + 40631207.

It is an arithmetic number, because the mean of its divisors is an integer number (2047544116200).

Almost surely, 2^{281939418806472} 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 281939418806472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491410587888000).

281939418806472 is an abundant number, since it is smaller than the sum of its proper divisors (700881756969528).

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

281939418806472 is a wasteful number, since it uses less digits than its factorization.

281939418806472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661391 (or 7661371 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 281939418806472 in words is "two hundred eighty-one trillion, nine hundred thirty-nine billion, four hundred eighteen million, eight hundred six thousand, four hundred seventy-two".