3118391861760 has 1320 divisors, whose sum is σ = 13077223473996. Its totient is φ = 711082229760.

The previous prime is 3118391861707. The next prime is 3118391861771. The reversal of 3118391861760 is 671681938113.

3118391861760 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 3 + 9 + 18 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2578413793536 + 539978068224 = 1605744^2 + 734832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3118391861697 and 3118391861706.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 7407106350 + ... + 7407106770.

Almost surely, 2^{3118391861760} is an apocalyptic number.

3118391861760 is a gapful number since it is divisible by the number (30) 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 3118391861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538611736998).

3118391861760 is an abundant number, since it is smaller than the sum of its proper divisors (9958831612236).

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

3118391861760 is an frugal number, since it uses more digits than its factorization.

3118391861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 3118391861760 in words is "three trillion, one hundred eighteen billion, three hundred ninety-one million, eight hundred sixty-one thousand, seven hundred sixty".