43642552464 has 225 divisors, whose sum is σ = 147114396297. Its totient is φ = 12454259328.

The previous prime is 43642552441. The next prime is 43642552469. The reversal of 43642552464 is 46425524634.

It is a happy number.

The square root of 43642552464 is 208908.

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

43642552464 is a `hidden beast` number, since 4 + 3 + 64 + 2 + 5 + 524 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25124786064 + 18517766400 = 158508^2 + 136080^2 .

It is not an unprimeable number, because it can be changed into a prime (43642552469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52644402 + ... + 52645230.

Almost surely, 2^43642552464 is an apocalyptic number.

43642552464 is the 208908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43642552464

43642552464 is an abundant number, since it is smaller than the sum of its proper divisors (103471843833).

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

43642552464 is an frugal number, since it uses more digits than its factorization.

43642552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 841 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 43642552464 in words is "forty-three billion, six hundred forty-two million, five hundred fifty-two thousand, four hundred sixty-four".