44735634064 has 225 divisors, whose sum is σ = 105189533715. Its totient is φ = 18426576960.

The previous prime is 44735634029. The next prime is 44735634091. The reversal of 44735634064 is 46043653744.

The square root of 44735634064 is 211508.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

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, 1945027557 + ... + 1945027579.

Almost surely, 2^44735634064 is an apocalyptic number.

44735634064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44735634064 is the 211508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44735634064

44735634064 is an abundant number, since it is smaller than the sum of its proper divisors (60453899651).

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

44735634064 is an equidigital number, since it uses as much as digits as its factorization.

44735634064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

The spelling of 44735634064 in words is "forty-four billion, seven hundred thirty-five million, six hundred thirty-four thousand, sixty-four".