1268416561248 has 144 divisors (see below), whose sum is σ = 3733842949200. Its totient is φ = 407963243520.

The previous prime is 1268416561211. The next prime is 1268416561253. The reversal of 1268416561248 is 8421656148621.

1268416561248 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 4 + 16 + 5 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1268416561194 and 1268416561203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13139718 + ... + 13235898.

It is an arithmetic number, because the mean of its divisors is an integer number (25929464925).

Almost surely, 2^{1268416561248} is an apocalyptic number.

1268416561248 is a gapful number since it is divisible by the number (18) 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 1268416561248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866921474600).

1268416561248 is an abundant number, since it is smaller than the sum of its proper divisors (2465426387952).

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

1268416561248 is a wasteful number, since it uses less digits than its factorization.

1268416561248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97805 (or 97794 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 1268416561248 in words is "one trillion, two hundred sixty-eight billion, four hundred sixteen million, five hundred sixty-one thousand, two hundred forty-eight".