45363355706880 has 960 divisors, whose sum is σ = 174450532576320. Its totient is φ = 11257154371584.

The previous prime is 45363355706839. The next prime is 45363355706881. The reversal of 45363355706880 is 8860755336354.

It is a happy number.

45363355706880 is a `hidden beast` number, since 4 + 53 + 6 + 3 + 3 + 5 + 570 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45363355706881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941182942 + ... + 941231138.

It is an arithmetic number, because the mean of its divisors is an integer number (181719304767).

Almost surely, 2^{45363355706880} is an apocalyptic number.

45363355706880 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 45363355706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87225266288160).

45363355706880 is an abundant number, since it is smaller than the sum of its proper divisors (129087176869440).

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

45363355706880 is an equidigital number, since it uses as much as digits as its factorization.

45363355706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48341 (or 48313 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 45363355706880 in words is "forty-five trillion, three hundred sixty-three billion, three hundred fifty-five million, seven hundred six thousand, eight hundred eighty".