1248779168000 has 576 divisors, whose sum is σ = 3918190628352. Its totient is φ = 385988198400.

The previous prime is 1248779167997. The next prime is 1248779168041. The reversal of 1248779168000 is 8619778421.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 125211014 + ... + 125220986.

Almost surely, 2^{1248779168000} is an apocalyptic number.

1248779168000 is a gapful number since it is divisible by the number (10) 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 1248779168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959095314176).

1248779168000 is an abundant number, since it is smaller than the sum of its proper divisors (2669411460352).

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

1248779168000 is an equidigital number, since it uses as much as digits as its factorization.

1248779168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 1248779168000 in words is "one trillion, two hundred forty-eight billion, seven hundred seventy-nine million, one hundred sixty-eight thousand".