845161548 has 192 divisors, whose sum is σ = 2574028800. Its totient is φ = 209468160.

The previous prime is 845161547. The next prime is 845161549.

845161548 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (845161547) and next prime (845161549).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (845161543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2016883 + ... + 2017301.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 2^845161548 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 845161548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

845161548 is an abundant number, since it is smaller than the sum of its proper divisors (1728867252).

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

845161548 is a wasteful number, since it uses less digits than its factorization.

845161548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 845161548 is about 29071.6622847748. The cubic root of 845161548 is about 945.4674387441.

The spelling of 845161548 in words is "eight hundred forty-five million, one hundred sixty-one thousand, five hundred forty-eight".