13736165220000 has 960 divisors, whose sum is σ = 51451537737600. Its totient is φ = 3562030080000.

The previous prime is 13736165219899. The next prime is 13736165220023. The reversal of 13736165220000 is 2256163731.

13736165220000 is a `hidden beast` number, since 1 + 3 + 73 + 61 + 6 + 522 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13736165220000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8391059182 + ... + 8391060818.

It is an arithmetic number, because the mean of its divisors is an integer number (53595351810).

Almost surely, 2^{13736165220000} is an apocalyptic number.

13736165220000 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 13736165220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725768868800).

13736165220000 is an abundant number, since it is smaller than the sum of its proper divisors (37715372517600).

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

13736165220000 is a wasteful number, since it uses less digits than its factorization.

13736165220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13736165220000 in words is "thirteen trillion, seven hundred thirty-six billion, one hundred sixty-five million, two hundred twenty thousand".