1288817988416 has 112 divisors (see below), whose sum is σ = 3160635158016. Its totient is φ = 508798377984.

The previous prime is 1288817988413. The next prime is 1288817988427. The reversal of 1288817988416 is 6148897188821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1288817988416² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1288817988416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288817988413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1442315 + ... + 2158218.

It is an arithmetic number, because the mean of its divisors is an integer number (28219956768).

Almost surely, 2^{1288817988416} is an apocalyptic number.

1288817988416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288817988416 is an abundant number, since it is smaller than the sum of its proper divisors (1871817169600).

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

1288817988416 is a wasteful number, since it uses less digits than its factorization.

1288817988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600616 (or 3600606 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 71.

The spelling of 1288817988416 in words is "one trillion, two hundred eighty-eight billion, eight hundred seventeen million, nine hundred eighty-eight thousand, four hundred sixteen".