46963224100 has 81 divisors (see below), whose sum is σ = 110418699027. Its totient is φ = 17329865280.

The previous prime is 46963224067. The next prime is 46963224127. The reversal of 46963224100 is 142236964.

It is a happy number.

The square root of 46963224100 is 216710.

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 12104840484 + 34858383616 = 110022^2 + 186704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46963224100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28171467 + ... + 28173133.

Almost surely, 2^46963224100 is an apocalyptic number.

46963224100 is the 216710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46963224100

46963224100 is an abundant number, since it is smaller than the sum of its proper divisors (63455474927).

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

46963224100 is a wasteful number, since it uses less digits than its factorization.

46963224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 46963224100 in words is "forty-six billion, nine hundred sixty-three million, two hundred twenty-four thousand, one hundred".