845145792 has 224 divisors, whose sum is σ = 2594457600. Its totient is φ = 269568000.

The previous prime is 845145781. The next prime is 845145793. The reversal of 845145792 is 297541548.

845145792 is a `hidden beast` number, since 84 + 514 + 57 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (845145793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5596917 + ... + 5597067.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2^845145792 is an apocalyptic number.

845145792 is a gapful number since it is divisible by the number (82) 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 845145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297228800).

845145792 is an abundant number, since it is smaller than the sum of its proper divisors (1749311808).

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

845145792 is a wasteful number, since it uses less digits than its factorization.

845145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 845145792 is about 29071.3912979754. The cubic root of 845145792 is about 945.4615633870.

The spelling of 845145792 in words is "eight hundred forty-five million, one hundred forty-five thousand, seven hundred ninety-two".