48848701440 has 768 divisors, whose sum is σ = 197679605760. Its totient is φ = 10003415040.

The previous prime is 48848701439. The next prime is 48848701441. The reversal of 48848701440 is 4410784884.

It is an interprime number because it is at equal distance from previous prime (48848701439) and next prime (48848701441).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48848701440.

It is not an unprimeable number, because it can be changed into a prime (48848701441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253101984 + ... + 253102176.

It is an arithmetic number, because the mean of its divisors is an integer number (257395320).

Almost surely, 2^48848701440 is an apocalyptic number.

48848701440 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 48848701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98839802880).

48848701440 is an abundant number, since it is smaller than the sum of its proper divisors (148830904320).

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

48848701440 is a wasteful number, since it uses less digits than its factorization.

48848701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 48848701440 in words is "forty-eight billion, eight hundred forty-eight million, seven hundred one thousand, four hundred forty".