1148517111680 has 128 divisors (see below), whose sum is σ = 2813994237600. Its totient is φ = 447986237440.

The previous prime is 1148517111671. The next prime is 1148517111701. The reversal of 1148517111680 is 861117158411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61366004 + ... + 61384716.

Almost surely, 2^{1148517111680} is an apocalyptic number.

1148517111680 is a gapful number since it is divisible by the number (10) 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 1148517111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406997118800).

1148517111680 is an abundant number, since it is smaller than the sum of its proper divisors (1665477125920).

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

1148517111680 is a wasteful number, since it uses less digits than its factorization.

1148517111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 21100 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 44.

The spelling of 1148517111680 in words is "one trillion, one hundred forty-eight billion, five hundred seventeen million, one hundred eleven thousand, six hundred eighty".