18161212608000 has 7680 divisors, whose sum is σ = 95570180259840. Its totient is φ = 3344302080000.

The previous prime is 18161212607987. The next prime is 18161212608047. The reversal of 18161212608000 is 80621216181.

18161212608000 is a `hidden beast` number, since 18 + 1 + 612 + 1 + 26 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 490843583982 + ... + 490843584018.

It is an arithmetic number, because the mean of its divisors is an integer number (12444033888).

Almost surely, 2^{18161212608000} is an apocalyptic number.

18161212608000 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 18161212608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47785090129920).

18161212608000 is an abundant number, since it is smaller than the sum of its proper divisors (77408967651840).

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

18161212608000 is a wasteful number, since it uses less digits than its factorization.

18161212608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18161212608000 in words is "eighteen trillion, one hundred sixty-one billion, two hundred twelve million, six hundred eight thousand".