45563868236960 has 384 divisors, whose sum is σ = 116051573594880. Its totient is φ = 16872074182656.

The previous prime is 45563868236879. The next prime is 45563868236963. The reversal of 45563868236960 is 6963286836554.

It is not an unprimeable number, because it can be changed into a prime (45563868236963) 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 63 ways as a sum of consecutive naturals, for example, 3916771304 + ... + 3916782936.

It is an arithmetic number, because the mean of its divisors is an integer number (302217639570).

Almost surely, 2^{45563868236960} is an apocalyptic number.

45563868236960 is a gapful number since it is divisible by the number (40) 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 45563868236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58025786797440).

45563868236960 is an abundant number, since it is smaller than the sum of its proper divisors (70487705357920).

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

45563868236960 is a wasteful number, since it uses less digits than its factorization.

45563868236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 71.

The spelling of 45563868236960 in words is "forty-five trillion, five hundred sixty-three billion, eight hundred sixty-eight million, two hundred thirty-six thousand, nine hundred sixty".