1017798668544 has 288 divisors, whose sum is σ = 3295385856000. Its totient is φ = 272396500992.

The previous prime is 1017798668527. The next prime is 1017798668561. The reversal of 1017798668544 is 4458668977101.

It is an interprime number because it is at equal distance from previous prime (1017798668527) and next prime (1017798668561).

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, 9034837 + ... + 9146795.

It is an arithmetic number, because the mean of its divisors is an integer number (11442312000).

Almost surely, 2^{1017798668544} is an apocalyptic number.

1017798668544 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 1017798668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647692928000).

1017798668544 is an abundant number, since it is smaller than the sum of its proper divisors (2277587187456).

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

1017798668544 is a wasteful number, since it uses less digits than its factorization.

1017798668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112093 (or 112079 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 1017798668544 in words is "one trillion, seventeen billion, seven hundred ninety-eight million, six hundred sixty-eight thousand, five hundred forty-four".