64354049761 has 3 divisors (see below), whose sum is σ = 64354303443. Its totient is φ = 64353796080.

The previous prime is 64354049743. The next prime is 64354049819. The reversal of 64354049761 is 16794045346.

The square root of 64354049761 is 253681.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 25718216161 + 38635833600 = 160369^2 + 196560^2 .

It is not a de Polignac number, because 64354049761 - 2¹⁹ = 64353525473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64354046761) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 126841 + ... + 380521.

It is an arithmetic number, because the mean of its divisors is an integer number (21451434481).

Almost surely, 2^64354049761 is an apocalyptic number.

64354049761 is the 253681-st square number.

64354049761 is the 126841-st centered octagonal number.

It is an amenable number.

64354049761 is a deficient number, since it is larger than the sum of its proper divisors (253682).

64354049761 is an frugal number, since it uses more digits than its factorization.

64354049761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507362 (or 253681 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 64354049761 by its sum of digits (49), we get a square (3153348438289 = 1775767²).

It can be divided in two parts, 6435 and 4049761, that added together give a square (4056196 = 2014²).

The spelling of 64354049761 in words is "sixty-four billion, three hundred fifty-four million, forty-nine thousand, seven hundred sixty-one".