48651124900 has 243 divisors, whose sum is σ = 129324957699. Its totient is φ = 15838690560.

The previous prime is 48651124889. The next prime is 48651124903. The reversal of 48651124900 is 942115684.

The square root of 48651124900 is 220570.

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 141943396 + 48509181504 = 11914^2 + 220248^2 .

It is not an unprimeable number, because it can be changed into a prime (48651124903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 355117632 + ... + 355117768.

Almost surely, 2^48651124900 is an apocalyptic number.

48651124900 is the 220570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48651124900

48651124900 is an abundant number, since it is smaller than the sum of its proper divisors (80673832799).

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

48651124900 is a wasteful number, since it uses less digits than its factorization.

48651124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 48651124900 in words is "forty-eight billion, six hundred fifty-one million, one hundred twenty-four thousand, nine hundred".