45565656480 has 144 divisors (see below), whose sum is σ = 156113534304. Its totient is φ = 12102336000.

The previous prime is 45565656463. The next prime is 45565656503. The reversal of 45565656480 is 8465656554.

45565656480 is a `hidden beast` number, since 4 + 55 + 65 + 6 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×45565656480³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298407 + ... + 424473.

It is an arithmetic number, because the mean of its divisors is an integer number (1084121766).

Almost surely, 2^45565656480 is an apocalyptic number.

45565656480 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 45565656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78056767152).

45565656480 is an abundant number, since it is smaller than the sum of its proper divisors (110547877824).

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

45565656480 is a wasteful number, since it uses less digits than its factorization.

45565656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126339 (or 126328 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 45565656480 in words is "forty-five billion, five hundred sixty-five million, six hundred fifty-six thousand, four hundred eighty".