1006186713480 has 192 divisors, whose sum is σ = 3522463504560. Its totient is φ = 247619764224.

The previous prime is 1006186713449. The next prime is 1006186713481. The reversal of 1006186713480 is 843176816001.

1006186713480 is a `hidden beast` number, since 10 + 0 + 618 + 6 + 7 + 13 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 228336799716 + 777849913764 = 477846^2 + 881958^2 .

It is a super-2 number, since 2×1006186713480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1006186713481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22521244 + ... + 22565876.

Almost surely, 2^{1006186713480} is an apocalyptic number.

1006186713480 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 1006186713480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761231752280).

1006186713480 is an abundant number, since it is smaller than the sum of its proper divisors (2516276791080).

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

1006186713480 is a wasteful number, since it uses less digits than its factorization.

1006186713480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49480 (or 49473 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1006186713480 in words is "one trillion, six billion, one hundred eighty-six million, seven hundred thirteen thousand, four hundred eighty".