4948022248960 has 160 divisors (see below), whose sum is σ = 13644831942720. Its totient is φ = 1685658304512.

The previous prime is 4948022248933. The next prime is 4948022248963. The reversal of 4948022248960 is 698422208494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 4948022248895 and 4948022248904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948022248963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1934086 + ... + 3692794.

It is an arithmetic number, because the mean of its divisors is an integer number (85280199642).

Almost surely, 2^{4948022248960} is an apocalyptic number.

4948022248960 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 4948022248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822415971360).

4948022248960 is an abundant number, since it is smaller than the sum of its proper divisors (8696809693760).

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

4948022248960 is a wasteful number, since it uses less digits than its factorization.

4948022248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758896 (or 1758880 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 4948022248960 in words is "four trillion, nine hundred forty-eight billion, twenty-two million, two hundred forty-eight thousand, nine hundred sixty".