45343443600 has 1125 divisors, whose sum is σ = 205077473997. Its totient is φ = 9566968320.

The previous prime is 45343443583. The next prime is 45343443611. The reversal of 45343443600 is 634434354.

The square root of 45343443600 is 212940.

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

45343443600 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 3 + 4 + 43 + 600 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44488933776 + 854509824 = 210924^2 + 29232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3487957194 + ... + 3487957206.

Almost surely, 2^45343443600 is an apocalyptic number.

45343443600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45343443600 is the 212940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45343443600

45343443600 is an abundant number, since it is smaller than the sum of its proper divisors (159734030397).

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

45343443600 is an equidigital number, since it uses as much as digits as its factorization.

45343443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Multiplying 45343443600 by its sum of digits (36), we get a square (1632363969600 = 1277640²).

45343443600 divided by its sum of digits (36) gives a square (1259540100 = 35490²).

Adding to 45343443600 its reverse (634434354), we get a palindrome (45977877954).

The spelling of 45343443600 in words is "forty-five billion, three hundred forty-three million, four hundred forty-three thousand, six hundred".