853216075460448 has 480 divisors, whose sum is σ = 2993495715657216. Its totient is φ = 233094722015232.

The previous prime is 853216075460407. The next prime is 853216075460467. The reversal of 853216075460448 is 844064570612358.

853216075460448 is a `hidden beast` number, since 8 + 5 + 3 + 2 + 1 + 60 + 75 + 4 + 60 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1186058440 + ... + 1186777592.

Almost surely, 2^{853216075460448} 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 853216075460448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496747857828608).

853216075460448 is an abundant number, since it is smaller than the sum of its proper divisors (2140279640196768).

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

853216075460448 is a wasteful number, since it uses less digits than its factorization.

853216075460448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722048 (or 722031 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 853216075460448 in words is "eight hundred fifty-three trillion, two hundred sixteen billion, seventy-five million, four hundred sixty thousand, four hundred forty-eight".