4734497292100 has 81 divisors (see below), whose sum is σ = 10617477411261. Its totient is φ = 1832447522400.

The previous prime is 4734497292071. The next prime is 4734497292137. The reversal of 4734497292100 is 12927944374.

It is a happy number.

The square root of 4734497292100 is 2175890.

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., 1704419025156 + 3030078266944 = 1305534^2 + 1740712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 674522391 + ... + 674529409.

Almost surely, 2^{4734497292100} is an apocalyptic number.

4734497292100 is the 2175890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4734497292100

4734497292100 is an abundant number, since it is smaller than the sum of its proper divisors (5882980119161).

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

4734497292100 is an frugal number, since it uses more digits than its factorization.

4734497292100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 4734497292100 in words is "four trillion, seven hundred thirty-four billion, four hundred ninety-seven million, two hundred ninety-two thousand, one hundred".