845353152 has 224 divisors, whose sum is σ = 3008010240. Its totient is φ = 227266560.

The previous prime is 845353123. The next prime is 845353177. The reversal of 845353152 is 251353548.

845353152 is a `hidden beast` number, since 8 + 453 + 53 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203577 + ... + 207687.

Almost surely, 2^845353152 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 845353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504005120).

845353152 is an abundant number, since it is smaller than the sum of its proper divisors (2162657088).

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

845353152 is a wasteful number, since it uses less digits than its factorization.

845353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4140 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 845353152 is about 29074.9574720239. The cubic root of 845353152 is about 945.5388813598.

The spelling of 845353152 in words is "eight hundred forty-five million, three hundred fifty-three thousand, one hundred fifty-two".