4781525688900 has 81 divisors (see below), whose sum is σ = 14987632254231. Its totient is φ = 1275056023680.

The previous prime is 4781525688869. The next prime is 4781525688931. The reversal of 4781525688900 is 98865251874.

The square root of 4781525688900 is 2186670.

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

4781525688900 is a `hidden beast` number, since 47 + 8 + 1 + 525 + 68 + 8 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4781525688869) and next prime (4781525688931).

It can be written as a sum of positive squares in 4 ways, for example, as 550210864644 + 4231314824256 = 741762^2 + 2057016^2 .

It is a super-2 number, since 2×4781525688900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65563656 + ... + 65636544.

Almost surely, 2^{4781525688900} is an apocalyptic number.

4781525688900 is the 2186670-th square number.

It is an amenable number.

4781525688900 is an abundant number, since it is smaller than the sum of its proper divisors (10206106565331).

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

4781525688900 is an frugal number, since it uses more digits than its factorization.

4781525688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145798 (or 72899 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 4781525688900 in words is "four trillion, seven hundred eighty-one billion, five hundred twenty-five million, six hundred eighty-eight thousand, nine hundred".