845624161200 has 960 divisors, whose sum is σ = 3522235673600. Its totient is φ = 168877301760.

The previous prime is 845624161177. The next prime is 845624161229. The reversal of 845624161200 is 2161426548.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 749002236 + ... + 749003364.

Almost surely, 2^845624161200 is an apocalyptic number.

845624161200 is a gapful number since it is divisible by the number (80) 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 845624161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761117836800).

845624161200 is an abundant number, since it is smaller than the sum of its proper divisors (2676611512400).

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

845624161200 is a wasteful number, since it uses less digits than its factorization.

845624161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 845624161200 its reverse (2161426548), we get a palindrome (847785587748).

The spelling of 845624161200 in words is "eight hundred forty-five billion, six hundred twenty-four million, one hundred sixty-one thousand, two hundred".