845142828480 has 560 divisors, whose sum is σ = 3078624780000. Its totient is φ = 220005310464.

The previous prime is 845142828457. The next prime is 845142828529. The reversal of 845142828480 is 84828241548.

It is a happy number.

845142828480 is a `hidden beast` number, since 8 + 4 + 514 + 2 + 82 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×845142828480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227860866 + ... + 227864574.

It is an arithmetic number, because the mean of its divisors is an integer number (5497544250).

Almost surely, 2^845142828480 is an apocalyptic number.

845142828480 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 845142828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539312390000).

845142828480 is an abundant number, since it is smaller than the sum of its proper divisors (2233481951520).

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

845142828480 is a wasteful number, since it uses less digits than its factorization.

845142828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 845142828480 in words is "eight hundred forty-five billion, one hundred forty-two million, eight hundred twenty-eight thousand, four hundred eighty".