854934106162752 has 1512 divisors, whose sum is σ = 3295141126280640. Its totient is φ = 218931513292800.

The previous prime is 854934106162739. The next prime is 854934106162777. The reversal of 854934106162752 is 257261601439458.

It is a happy number.

854934106162752 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 3 + 4 + 1 + 0 + 616 + 2 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a self number, because there is not a number n which added to its sum of digits gives 854934106162752.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6546689074 + ... + 6546819662.

It is an arithmetic number, because the mean of its divisors is an integer number (2179326141720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅854934106162752 = 1709868212325504, but 3⋅854934106162752 = 2564802318488256 is not.

Almost surely, 2^{854934106162752} 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 854934106162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647570563140320).

854934106162752 is an abundant number, since it is smaller than the sum of its proper divisors (2440207020117888).

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

854934106162752 is a wasteful number, since it uses less digits than its factorization.

854934106162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130723 (or 130683 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 854934106162752 in words is "eight hundred fifty-four trillion, nine hundred thirty-four billion, one hundred six million, one hundred sixty-two thousand, seven hundred fifty-two".