845134414848 has 220 divisors, whose sum is σ = 2537880261840. Its totient is φ = 280132743168.

The previous prime is 845134414799. The next prime is 845134414889. The reversal of 845134414848 is 848414431548.

845134414848 is a `hidden beast` number, since 8 + 4 + 513 + 4 + 41 + 4 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 845134414794 and 845134414803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14818515 + ... + 14875437.

It is an arithmetic number, because the mean of its divisors is an integer number (11535819372).

Almost surely, 2^845134414848 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 845134414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268940130920).

845134414848 is an abundant number, since it is smaller than the sum of its proper divisors (1692745846992).

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

845134414848 is a wasteful number, since it uses less digits than its factorization.

845134414848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57134 (or 57107 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 845134414848 in words is "eight hundred forty-five billion, one hundred thirty-four million, four hundred fourteen thousand, eight hundred forty-eight".