848016518469120 has 5120 divisors, whose sum is σ = 4394790715392000. Its totient is φ = 149117652172800.

The previous prime is 848016518469047. The next prime is 848016518469193. The reversal of 848016518469120 is 21964815610848.

It is a happy number.

848016518469120 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 1 + 6 + 518 + 4 + 6 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (848016518469047) and next prime (848016518469193).

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

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40752381276 + ... + 40752402084.

It is an arithmetic number, because the mean of its divisors is an integer number (858357561600).

Almost surely, 2^{848016518469120} is an apocalyptic number.

848016518469120 is a gapful number since it is divisible by the number (80) 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 848016518469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197395357696000).

848016518469120 is an abundant number, since it is smaller than the sum of its proper divisors (3546774196922880).

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

848016518469120 is a wasteful number, since it uses less digits than its factorization.

848016518469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 848016518469120 in words is "eight hundred forty-eight trillion, sixteen billion, five hundred eighteen million, four hundred sixty-nine thousand, one hundred twenty".