281474977042432 has 104 divisors (see below), whose sum is σ = 569268724689720. Its totient is φ = 139140771348480.

The previous prime is 281474977042397. The next prime is 281474977042547. The reversal of 281474977042432 is 234240779474182.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 281474976710656 = 576^2 + 16777216^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Leyland number of the form 24⁴ + 4²⁴.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3744922932 + ... + 3744998092.

Almost surely, 2^{281474977042432} 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 281474977042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284634362344860).

281474977042432 is an abundant number, since it is smaller than the sum of its proper divisors (287793747647288).

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

281474977042432 is an equidigital number, since it uses as much as digits as its factorization.

281474977042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85547 (or 85525 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 64.

The spelling of 281474977042432 in words is "two hundred eighty-one trillion, four hundred seventy-four billion, nine hundred seventy-seven million, forty-two thousand, four hundred thirty-two".