47261087608900 has 81 divisors (see below), whose sum is σ = 112729262389527. Its totient is φ = 17185575052800.

The previous prime is 47261087608879. The next prime is 47261087608967. The reversal of 47261087608900 is 980678016274.

The square root of 47261087608900 is 6874670.

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

47261087608900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3525509437956 + 43735578170944 = 1877634^2 + 6613288^2 .

It is a super-2 number, since 2×47261087608900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 756182452 + ... + 756244948.

Almost surely, 2^{47261087608900} is an apocalyptic number.

47261087608900 is the 6874670-th square number.

It is an amenable number.

47261087608900 is an abundant number, since it is smaller than the sum of its proper divisors (65468174780627).

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

47261087608900 is an frugal number, since it uses more digits than its factorization.

47261087608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125030 (or 62515 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 47261087608900 in words is "forty-seven trillion, two hundred sixty-one billion, eighty-seven million, six hundred eight thousand, nine hundred".