845990568000 has 560 divisors, whose sum is σ = 3165091815600. Its totient is φ = 223047475200.

The previous prime is 845990567957. The next prime is 845990568019. The reversal of 845990568000 is 865099548.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 349337738304 + 496652829696 = 591048^2 + 704736^2 .

It is a super-2 number, since 2×845990568000² (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, 57664666 + ... + 57679334.

Almost surely, 2^845990568000 is an apocalyptic number.

845990568000 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 845990568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582545907800).

845990568000 is an abundant number, since it is smaller than the sum of its proper divisors (2319101247600).

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

845990568000 is a wasteful number, since it uses less digits than its factorization.

845990568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14797 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 845990568000 in words is "eight hundred forty-five billion, nine hundred ninety million, five hundred sixty-eight thousand".