248915604960000 has 1350 divisors, whose sum is σ = 1019467613464916. Its totient is φ = 60342796800000.

The previous prime is 248915604959999. The next prime is 248915604960013. The reversal of 248915604960000 is 69406519842.

248915604960000 is a `hidden beast` number, since 2 + 4 + 8 + 91 + 5 + 60 + 496 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1568080635 + ... + 1568239365.

Almost surely, 2^{248915604960000} is an apocalyptic number.

248915604960000 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 248915604960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509733806732458).

248915604960000 is an abundant number, since it is smaller than the sum of its proper divisors (770552008504916).

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

248915604960000 is an equidigital number, since it uses as much as digits as its factorization.

248915604960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158801 (or 158752 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 248915604960000 in words is "two hundred forty-eight trillion, nine hundred fifteen billion, six hundred four million, nine hundred sixty thousand".