48290062500 has 189 divisors, whose sum is σ = 153103762903. Its totient is φ = 12833400000.

The previous prime is 48290062477. The next prime is 48290062529. The reversal of 48290062500 is 526009284.

It is a happy number.

The square root of 48290062500 is 219750.

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

48290062500 is a `hidden beast` number, since 4 + 8 + 2 + 90 + 0 + 62 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 47533592484 + 756470016 = 218022^2 + 27504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 164812354 + ... + 164812646.

Almost surely, 2^48290062500 is an apocalyptic number.

48290062500 is the 219750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48290062500

48290062500 is an abundant number, since it is smaller than the sum of its proper divisors (104813700403).

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

48290062500 is an frugal number, since it uses more digits than its factorization.

48290062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 48290062500 by its sum of digits (36), we get a square (1738442250000 = 1318500²).

48290062500 divided by its sum of digits (36) gives a square (1341390625 = 36625²).

The spelling of 48290062500 in words is "forty-eight billion, two hundred ninety million, sixty-two thousand, five hundred".