48914718720 has 896 divisors, whose sum is σ = 195526517760. Its totient is φ = 10192158720.

The previous prime is 48914718703. The next prime is 48914718803. The reversal of 48914718720 is 2781741984.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670064604 + ... + 670064676.

It is an arithmetic number, because the mean of its divisors is an integer number (218221560).

Almost surely, 2^48914718720 is an apocalyptic number.

48914718720 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 48914718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97763258880).

48914718720 is an abundant number, since it is smaller than the sum of its proper divisors (146611799040).

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

48914718720 is a wasteful number, since it uses less digits than its factorization.

48914718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 48914718720 in words is "forty-eight billion, nine hundred fourteen million, seven hundred eighteen thousand, seven hundred twenty".