4661506900 has 18 divisors (see below), whose sum is σ = 10115470190. Its totient is φ = 1864602720.

The previous prime is 4661506897. The next prime is 4661506937. The reversal of 4661506900 is 96051664.

It can be written as a sum of positive squares in 3 ways, for example, as 65480464 + 4596026436 = 8092^2 + 67794^2 .

It is a super-2 number, since 2×4661506900² = 43459293157495220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4661506900.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 23307435 + ... + 23307634.

Almost surely, 2^4661506900 is an apocalyptic number.

It is an amenable number.

4661506900 is an abundant number, since it is smaller than the sum of its proper divisors (5453963290).

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

4661506900 is a wasteful number, since it uses less digits than its factorization.

4661506900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46615083 (or 46615076 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 4661506900 is about 68275.2290365986. The cubic root of 4661506900 is about 1670.4831929166.

The spelling of 4661506900 in words is "four billion, six hundred sixty-one million, five hundred six thousand, nine hundred".