48514284720 has 320 divisors, whose sum is σ = 183178990080. Its totient is φ = 11704089600.

The previous prime is 48514284683. The next prime is 48514284811. The reversal of 48514284720 is 2748241584.

48514284720 is a `hidden beast` number, since 48 + 514 + 28 + 4 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5008522 + ... + 5018198.

It is an arithmetic number, because the mean of its divisors is an integer number (572434344).

Almost surely, 2^48514284720 is an apocalyptic number.

48514284720 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 48514284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91589495040).

48514284720 is an abundant number, since it is smaller than the sum of its proper divisors (134664705360).

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

48514284720 is a wasteful number, since it uses less digits than its factorization.

48514284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 48514284720 in words is "forty-eight billion, five hundred fourteen million, two hundred eighty-four thousand, seven hundred twenty".