84401610448 has 40 divisors (see below), whose sum is σ = 167060867688. Its totient is φ = 41293404672.

The previous prime is 84401610431. The next prime is 84401610479.

It is a happy number.

84401610448 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 28890480784 + 55511129664 = 169972^2 + 235608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84401610448.

It is a congruent number.

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, 182886 + ... + 449722.

Almost surely, 2^84401610448 is an apocalyptic number.

It is an amenable number.

84401610448 is a deficient number, since it is larger than the sum of its proper divisors (82659257240).

84401610448 is a wasteful number, since it uses less digits than its factorization.

84401610448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267271 (or 267265 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 84401610448 in words is "eighty-four billion, four hundred one million, six hundred ten thousand, four hundred forty-eight".