45943350336 has 315 divisors, whose sum is σ = 148119332031. Its totient is φ = 14074684416.

The previous prime is 45943350331. The next prime is 45943350353. The reversal of 45943350336 is 63305334954.

The square root of 45943350336 is 214344.

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

45943350336 is a `hidden beast` number, since 4 + 594 + 3 + 3 + 50 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 768398400 + 45174951936 = 27720^2 + 212544^2 .

It is a super-2 number, since 2×45943350336² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45943350291 and 45943350300.

It is not an unprimeable number, because it can be changed into a prime (45943350331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 200625870 + ... + 200626098.

Almost surely, 2^45943350336 is an apocalyptic number.

45943350336 is the 214344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45943350336

45943350336 is an abundant number, since it is smaller than the sum of its proper divisors (102175981695).

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

45943350336 is an equidigital number, since it uses as much as digits as its factorization.

45943350336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 45943350336 in words is "forty-five billion, nine hundred forty-three million, three hundred fifty thousand, three hundred thirty-six".