45661637468160 has 2688 divisors, whose sum is σ = 200599638220800. Its totient is φ = 9751984865280.

The previous prime is 45661637468159. The next prime is 45661637468173. The reversal of 45661637468160 is 6186473616654.

45661637468160 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 1 + 6 + 3 + 7 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1472956047345 + ... + 1472956047375.

It is an arithmetic number, because the mean of its divisors is an integer number (74627841600).

Almost surely, 2^{45661637468160} is an apocalyptic number.

45661637468160 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 45661637468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100299819110400).

45661637468160 is an abundant number, since it is smaller than the sum of its proper divisors (154938000752640).

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

45661637468160 is an frugal number, since it uses more digits than its factorization.

45661637468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 45661637468160 in words is "forty-five trillion, six hundred sixty-one billion, six hundred thirty-seven million, four hundred sixty-eight thousand, one hundred sixty".