4948162248960 has 864 divisors, whose sum is σ = 20656029542400. Its totient is φ = 1118266490880.

The previous prime is 4948162248959. The next prime is 4948162248971. The reversal of 4948162248960 is 698422618494.

4948162248960 is a `hidden beast` number, since 4 + 9 + 481 + 6 + 22 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150699745 + ... + 150732575.

It is an arithmetic number, because the mean of its divisors is an integer number (23907441600).

Almost surely, 2^{4948162248960} is an apocalyptic number.

4948162248960 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 4948162248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328014771200).

4948162248960 is an abundant number, since it is smaller than the sum of its proper divisors (15707867293440).

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

4948162248960 is a wasteful number, since it uses less digits than its factorization.

4948162248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32964 (or 32937 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4948162248960 in words is "four trillion, nine hundred forty-eight billion, one hundred sixty-two million, two hundred forty-eight thousand, nine hundred sixty".