9950461504 has 63 divisors (see below), whose sum is σ = 20353927923. Its totient is φ = 4826400768.

The previous prime is 9950461501. The next prime is 9950461537. The reversal of 9950461504 is 4051640599.

The square root of 9950461504 is 99752.

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

It can be written as a sum of positive squares in 4 ways, for example, as 455907904 + 9494553600 = 21352^2 + 97440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9950461501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29526424 + ... + 29526760.

It is an arithmetic number, because the mean of its divisors is an integer number (323078221).

Almost surely, 2^9950461504 is an apocalyptic number.

9950461504 is the 99752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9950461504

9950461504 is an abundant number, since it is smaller than the sum of its proper divisors (10403466419).

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

9950461504 is an frugal number, since it uses more digits than its factorization.

9950461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The cubic root of 9950461504 is about 2150.8712174264.

The spelling of 9950461504 in words is "nine billion, nine hundred fifty million, four hundred sixty-one thousand, five hundred four".