84461672448 has 288 divisors, whose sum is σ = 252008527680. Its totient is φ = 27232174080.

The previous prime is 84461672429. The next prime is 84461672473. The reversal of 84461672448 is 84427616448.

84461672448 is a `hidden beast` number, since 84 + 4 + 61 + 67 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×84461672448² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84461672394 and 84461672403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184817436 + ... + 184817892.

It is an arithmetic number, because the mean of its divisors is an integer number (875029610).

Almost surely, 2^84461672448 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 84461672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126004263840).

84461672448 is an abundant number, since it is smaller than the sum of its proper divisors (167546855232).

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

84461672448 is a wasteful number, since it uses less digits than its factorization.

84461672448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 770 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 84461672448 in words is "eighty-four billion, four hundred sixty-one million, six hundred seventy-two thousand, four hundred forty-eight".