4693756914064 has 45 divisors (see below), whose sum is σ = 9507146956993. Its totient is φ = 2244744936896.

The previous prime is 4693756914061. The next prime is 4693756914071. The reversal of 4693756914064 is 4604196573964.

The square root of 4693756914064 is 2166508.

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

It can be written as a sum of positive squares in only one way, i.e., 3587051664 + 4690169862400 = 59892^2 + 2165680^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4693756913987 and 4693756914005.

It is not an unprimeable number, because it can be changed into a prime (4693756914061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199306962 + ... + 199330510.

Almost surely, 2^{4693756914064} is an apocalyptic number.

4693756914064 is the 2166508-th square number.

It is an amenable number.

4693756914064 is an abundant number, since it is smaller than the sum of its proper divisors (4813390042929).

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

4693756914064 is an frugal number, since it uses more digits than its factorization.

4693756914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47152 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

Multiplying 4693756914064 by its sum of digits (64), we get a square (300400442500096 = 17332064²).

The spelling of 4693756914064 in words is "four trillion, six hundred ninety-three billion, seven hundred fifty-six million, nine hundred fourteen thousand, sixty-four".