47012552164900 has 189 divisors, whose sum is σ = 119079536246769. Its totient is φ = 16110525987360.

The previous prime is 47012552164883. The next prime is 47012552164901. The reversal of 47012552164900 is 946125521074.

The square root of 47012552164900 is 6856570.

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., 16924518779364 + 30088033385536 = 4113942^2 + 5485256^2 .

It is a super-2 number, since 2×47012552164900² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47012552164901) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23518034101 + ... + 23518036099.

Almost surely, 2^{47012552164900} is an apocalyptic number.

47012552164900 is the 6856570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47012552164900

47012552164900 is an abundant number, since it is smaller than the sum of its proper divisors (72066984081869).

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

47012552164900 is an frugal number, since it uses more digits than its factorization.

47012552164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

Adding to 47012552164900 its reverse (946125521074), we get a palindrome (47958677685974).

It can be divided in two parts, 470125 and 52164900, that added together give a square (52635025 = 7255²).

The spelling of 47012552164900 in words is "forty-seven trillion, twelve billion, five hundred fifty-two million, one hundred sixty-four thousand, nine hundred".