45636514560 has 1080 divisors, whose sum is σ = 204864404976. Its totient is φ = 9614868480.

The previous prime is 45636514543. The next prime is 45636514591. The reversal of 45636514560 is 6541563654.

45636514560 is a `hidden beast` number, since 4 + 5 + 6 + 36 + 51 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×45636514560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66043815 + ... + 66044505.

Almost surely, 2^45636514560 is an apocalyptic number.

45636514560 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 45636514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102432202488).

45636514560 is an abundant number, since it is smaller than the sum of its proper divisors (159227890416).

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

45636514560 is a wasteful number, since it uses less digits than its factorization.

45636514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 45636514560 in words is "forty-five billion, six hundred thirty-six million, five hundred fourteen thousand, five hundred sixty".