45660561408 has 672 divisors, whose sum is σ = 172123729920. Its totient is φ = 11828920320.

The previous prime is 45660561407. The next prime is 45660561437. The reversal of 45660561408 is 80416506654.

45660561408 is a `hidden beast` number, since 45 + 6 + 6 + 0 + 561 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45660561407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119217985 + ... + 119218367.

Almost surely, 2^45660561408 is an apocalyptic number.

45660561408 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 45660561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86061864960).

45660561408 is an abundant number, since it is smaller than the sum of its proper divisors (126463168512).

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

45660561408 is a wasteful number, since it uses less digits than its factorization.

45660561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45660561408 in words is "forty-five billion, six hundred sixty million, five hundred sixty-one thousand, four hundred eight".