48654033633280 has 120 divisors (see below), whose sum is σ = 117922237415640. Its totient is φ = 19268920934400.

The previous prime is 48654033633253. The next prime is 48654033633287. The reversal of 48654033633280 is 8233633045684.

It can be written as a sum of positive squares in 4 ways, for example, as 28130379300864 + 20523654332416 = 5303808^2 + 4530304^2 .

It is not an unprimeable number, because it can be changed into a prime (48654033633287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5333716 + ... + 11214124.

It is an arithmetic number, because the mean of its divisors is an integer number (982685311797).

Almost surely, 2^{48654033633280} is an apocalyptic number.

48654033633280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48654033633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58961118707820).

48654033633280 is an abundant number, since it is smaller than the sum of its proper divisors (69268203782360).

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

48654033633280 is an equidigital number, since it uses as much as digits as its factorization.

48654033633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880543 (or 5880517 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 48654033633280 in words is "forty-eight trillion, six hundred fifty-four billion, thirty-three million, six hundred thirty-three thousand, two hundred eighty".