47435968804 has 81 divisors (see below), whose sum is σ = 98963371899. Its totient is φ = 19837041840.

The previous prime is 47435968799. The next prime is 47435968829. The reversal of 47435968804 is 40886953474.

It is a happy number.

The square root of 47435968804 is 217798.

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

It is a super-2 number, since 2×47435968804² (a number of 22 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, 143310919 + ... + 143311249.

Almost surely, 2^47435968804 is an apocalyptic number.

47435968804 is the 217798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47435968804

47435968804 is an abundant number, since it is smaller than the sum of its proper divisors (51527403095).

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

47435968804 is an equidigital number, since it uses as much as digits as its factorization.

47435968804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

It can be divided in two parts, 4743596 and 8804, that added together give a square (4752400 = 2180²).

The spelling of 47435968804 in words is "forty-seven billion, four hundred thirty-five million, nine hundred sixty-eight thousand, eight hundred four".