1268822182264 has 256 divisors, whose sum is σ = 3127169203200. Its totient is φ = 468633600000.

The previous prime is 1268822182171. The next prime is 1268822182267. The reversal of 1268822182264 is 4622812288621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268822182267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317124264 + ... + 317128264.

It is an arithmetic number, because the mean of its divisors is an integer number (12215504700).

Almost surely, 2^{1268822182264} is an apocalyptic number.

1268822182264 is a gapful number since it is divisible by the number (14) 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 1268822182264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563584601600).

1268822182264 is an abundant number, since it is smaller than the sum of its proper divisors (1858347020936).

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

1268822182264 is a wasteful number, since it uses less digits than its factorization.

1268822182264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4370 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The spelling of 1268822182264 in words is "one trillion, two hundred sixty-eight billion, eight hundred twenty-two million, one hundred eighty-two thousand, two hundred sixty-four".