45562985568 has 192 divisors, whose sum is σ = 144400435200. Its totient is φ = 13924016640.

The previous prime is 45562985563. The next prime is 45562985581. The reversal of 45562985568 is 86558926554.

45562985568 is a `hidden beast` number, since 4 + 5 + 5 + 62 + 9 + 8 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45562985563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464130 + ... + 553662.

It is an arithmetic number, because the mean of its divisors is an integer number (752085600).

Almost surely, 2^45562985568 is an apocalyptic number.

45562985568 is a gapful number since it is divisible by the number (48) 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 45562985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72200217600).

45562985568 is an abundant number, since it is smaller than the sum of its proper divisors (98837449632).

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

45562985568 is a wasteful number, since it uses less digits than its factorization.

45562985568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89602 (or 89588 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 45562985568 in words is "forty-five billion, five hundred sixty-two million, nine hundred eighty-five thousand, five hundred sixty-eight".