48810948624 has 375 divisors, whose sum is σ = 158409332477. Its totient is φ = 14507278848.

The previous prime is 48810948617. The next prime is 48810948631. The reversal of 48810948624 is 42684901884.

It is a happy number.

The square root of 48810948624 is 220932.

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

48810948624 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 0 + 9 + 4 + 8 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (48810948617) and next prime (48810948631).

It can be written as a sum of positive squares in only one way, i.e., 38001603600 + 10809345024 = 194940^2 + 103968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 74 ways as a sum of consecutive naturals, for example, 2568997287 + ... + 2568997305.

Almost surely, 2^48810948624 is an apocalyptic number.

48810948624 is the 220932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48810948624

48810948624 is an abundant number, since it is smaller than the sum of its proper divisors (109598383853).

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

48810948624 is an frugal number, since it uses more digits than its factorization.

48810948624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48810948624 in words is "forty-eight billion, eight hundred ten million, nine hundred forty-eight thousand, six hundred twenty-four".