845651561664 has 560 divisors, whose sum is σ = 2850972618592. Its totient is φ = 219859992576.

The previous prime is 845651561609. The next prime is 845651561719. The reversal of 845651561664 is 466165156548.

It is an interprime number because it is at equal distance from previous prime (845651561609) and next prime (845651561719).

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, 437480442 + ... + 437482374.

Almost surely, 2^845651561664 is an apocalyptic number.

845651561664 is a gapful number since it is divisible by the number (84) 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 845651561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425486309296).

845651561664 is an abundant number, since it is smaller than the sum of its proper divisors (2005321056928).

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

845651561664 is a wasteful number, since it uses less digits than its factorization.

845651561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2031 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 845651561664 in words is "eight hundred forty-five billion, six hundred fifty-one million, five hundred sixty-one thousand, six hundred sixty-four".