1266146788016 has 160 divisors (see below), whose sum is σ = 2773898459136. Its totient is φ = 554867712000.

The previous prime is 1266146787979. The next prime is 1266146788021. The reversal of 1266146788016 is 6108876416621.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299252621 + ... + 299256851.

Almost surely, 2^{1266146788016} is an apocalyptic number.

1266146788016 is a gapful number since it is divisible by the number (16) 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 1266146788016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386949229568).

1266146788016 is an abundant number, since it is smaller than the sum of its proper divisors (1507751671120).

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

1266146788016 is a wasteful number, since it uses less digits than its factorization.

1266146788016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 1266146788016 in words is "one trillion, two hundred sixty-six billion, one hundred forty-six million, seven hundred eighty-eight thousand, sixteen".