4706252972100 has 81 divisors (see below), whose sum is σ = 14751692480343. Its totient is φ = 1254983437440.

The previous prime is 4706252972063. The next prime is 4706252972111. The reversal of 4706252972100 is 12792526074.

The square root of 4706252972100 is 2169390.

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

4706252972100 is a `hidden beast` number, since 4 + 7 + 0 + 625 + 2 + 9 + 7 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730440296964 + 3975812675136 = 854658^2 + 1993944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 65045544 + ... + 65117856.

Almost surely, 2^{4706252972100} is an apocalyptic number.

4706252972100 is the 2169390-th square number.

It is an amenable number.

4706252972100 is an abundant number, since it is smaller than the sum of its proper divisors (10045439508243).

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

4706252972100 is an frugal number, since it uses more digits than its factorization.

4706252972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144646 (or 72323 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4706252972100 in words is "four trillion, seven hundred six billion, two hundred fifty-two million, nine hundred seventy-two thousand, one hundred".