84427533572448 has 192 divisors, whose sum is σ = 242011009626624. Its totient is φ = 25558582272000.

The previous prime is 84427533572423. The next prime is 84427533572467.

84427533572448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9745757365 + ... + 9745766027.

It is an arithmetic number, because the mean of its divisors is an integer number (1260474008472).

Almost surely, 2^{84427533572448} is an apocalyptic number.

84427533572448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84427533572448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121005504813312).

84427533572448 is an abundant number, since it is smaller than the sum of its proper divisors (157583476054176).

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

84427533572448 is a wasteful number, since it uses less digits than its factorization.

84427533572448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829 (or 16821 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 66.

The spelling of 84427533572448 in words is "eighty-four trillion, four hundred twenty-seven billion, five hundred thirty-three million, five hundred seventy-two thousand, four hundred forty-eight".