248117760000 has 1170 divisors, whose sum is σ = 995463779310. Its totient is φ = 59473920000.

The previous prime is 248117759993. The next prime is 248117760047. The reversal of 248117760000 is 67711842.

248117760000 is a `hidden beast` number, since 2 + 48 + 1 + 1 + 7 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 138169810944 + 109947949056 = 371712^2 + 331584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2787839956 + ... + 2787840044.

It is an arithmetic number, because the mean of its divisors is an integer number (850823743).

Almost surely, 2^248117760000 is an apocalyptic number.

248117760000 is a gapful number since it is divisible by the number (20) 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 248117760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497731889655).

248117760000 is an abundant number, since it is smaller than the sum of its proper divisors (747346019310).

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

248117760000 is an equidigital number, since it uses as much as digits as its factorization.

248117760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 248117760000 in words is "two hundred forty-eight billion, one hundred seventeen million, seven hundred sixty thousand".