13161246615000 has 720 divisors, whose sum is σ = 49808531761560. Its totient is φ = 3112588800000.

The previous prime is 13161246614987. The next prime is 13161246615007. The reversal of 13161246615000 is 51664216131.

13161246615000 is a `hidden beast` number, since 1 + 3 + 16 + 1 + 24 + 6 + 615 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161246615007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 832087092 + ... + 832102908.

Almost surely, 2^{13161246615000} is an apocalyptic number.

13161246615000 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 13161246615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904265880780).

13161246615000 is an abundant number, since it is smaller than the sum of its proper divisors (36647285146560).

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

13161246615000 is a wasteful number, since it uses less digits than its factorization.

13161246615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13161246615000 in words is "thirteen trillion, one hundred sixty-one billion, two hundred forty-six million, six hundred fifteen thousand".