45556633600 has 351 divisors, whose sum is σ = 122304350623. Its totient is φ = 16829317120.

The previous prime is 45556633567. The next prime is 45556633691. The reversal of 45556633600 is 633665554.

The square root of 45556633600 is 213440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 626200576 + 44930433024 = 25024^2 + 211968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1570918386 + ... + 1570918414.

Almost surely, 2^45556633600 is an apocalyptic number.

45556633600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45556633600 is the 213440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45556633600

45556633600 is an abundant number, since it is smaller than the sum of its proper divisors (76747717023).

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

45556633600 is an equidigital number, since it uses as much as digits as its factorization.

45556633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 43.

The spelling of 45556633600 in words is "forty-five billion, five hundred fifty-six million, six hundred thirty-three thousand, six hundred".