4948273908864 has 640 divisors, whose sum is σ = 17768232377280. Its totient is φ = 1346708643840.

The previous prime is 4948273908841. The next prime is 4948273908899. The reversal of 4948273908864 is 4688093728494.

4948273908864 is a `hidden beast` number, since 4 + 9 + 482 + 7 + 3 + 9 + 0 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4948273908792 and 4948273908801.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54811987 + ... + 54902189.

Almost surely, 2^{4948273908864} is an apocalyptic number.

4948273908864 is a gapful number since it is divisible by the number (44) 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 4948273908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884116188640).

4948273908864 is an abundant number, since it is smaller than the sum of its proper divisors (12819958468416).

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

4948273908864 is a wasteful number, since it uses less digits than its factorization.

4948273908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90290 (or 90269 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 4948273908864 in words is "four trillion, nine hundred forty-eight billion, two hundred seventy-three million, nine hundred eight thousand, eight hundred sixty-four".