436138726464 has 189 divisors, whose sum is σ = 1454583008151. Its totient is φ = 124579365120.

The previous prime is 436138726427. The next prime is 436138726469. The reversal of 436138726464 is 464627831634.

The square root of 436138726464 is 660408.

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

436138726464 is a `hidden beast` number, since 43 + 6 + 138 + 7 + 2 + 6 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 436138726464.

It is not an unprimeable number, because it can be changed into a prime (436138726469) 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 26 ways as a sum of consecutive naturals, for example, 110946579 + ... + 110950509.

Almost surely, 2^436138726464 is an apocalyptic number.

436138726464 is the 660408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436138726464

436138726464 is an abundant number, since it is smaller than the sum of its proper divisors (1018444281687).

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

436138726464 is an frugal number, since it uses more digits than its factorization.

436138726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 3943 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 436138726464 in words is "four hundred thirty-six billion, one hundred thirty-eight million, seven hundred twenty-six thousand, four hundred sixty-four".