848617995456 has 560 divisors, whose sum is σ = 3301392188160. Its totient is φ = 208817326080.

The previous prime is 848617995451. The next prime is 848617995479. The reversal of 848617995456 is 654599716848.

848617995456 is a `hidden beast` number, since 8 + 4 + 8 + 6 + 1 + 79 + 9 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (848617995451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7528246 + ... + 7640138.

Almost surely, 2^848617995456 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 848617995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650696094080).

848617995456 is an abundant number, since it is smaller than the sum of its proper divisors (2452774192704).

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

848617995456 is a wasteful number, since it uses less digits than its factorization.

848617995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111954 (or 111935 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 848617995456 in words is "eight hundred forty-eight billion, six hundred seventeen million, nine hundred ninety-five thousand, four hundred fifty-six".