4729633251984 has 135 divisors (see below), whose sum is σ = 13461482579337. Its totient is φ = 1550177481600.

The previous prime is 4729633251977. The next prime is 4729633251989. The reversal of 4729633251984 is 4891523369274.

The square root of 4729633251984 is 2174772.

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

4729633251984 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 6 + 3 + 32 + 519 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153798877584 + 4575834374400 = 392172^2 + 2139120^2 .

It is not an unprimeable number, because it can be changed into a prime (4729633251989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1591931619 + ... + 1591934589.

Almost surely, 2^{4729633251984} is an apocalyptic number.

4729633251984 is the 2174772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4729633251984

4729633251984 is an abundant number, since it is smaller than the sum of its proper divisors (8731849327353).

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

4729633251984 is an frugal number, since it uses more digits than its factorization.

4729633251984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 3037 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4729633251984 in words is "four trillion, seven hundred twenty-nine billion, six hundred thirty-three million, two hundred fifty-one thousand, nine hundred eighty-four".