2121162630336 has 168 divisors, whose sum is σ = 6117101054064. Its totient is φ = 702742118400.

The previous prime is 2121162630329. The next prime is 2121162630407. The reversal of 2121162630336 is 6330362611212.

2121162630336 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 16 + 2 + 630 + 3 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121162630336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78568456 + ... + 78595448.

It is an arithmetic number, because the mean of its divisors is an integer number (36411315798).

Almost surely, 2^{2121162630336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121162630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058550527032).

2121162630336 is an abundant number, since it is smaller than the sum of its proper divisors (3995938423728).

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

2121162630336 is a wasteful number, since it uses less digits than its factorization.

2121162630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27839 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 2121162630336 in words is "two trillion, one hundred twenty-one billion, one hundred sixty-two million, six hundred thirty thousand, three hundred thirty-six".