161219314080000 has 1080 divisors, whose sum is σ = 634075819112736. Its totient is φ = 39058022400000.

The previous prime is 161219314079983. The next prime is 161219314080023. The reversal of 161219314080000 is 80413912161.

161219314080000 is a `hidden beast` number, since 1 + 6 + 1 + 219 + 31 + 408 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38285277895 + ... + 38285282105.

Almost surely, 2^{161219314080000} is an apocalyptic number.

161219314080000 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 161219314080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317037909556368).

161219314080000 is an abundant number, since it is smaller than the sum of its proper divisors (472856505032736).

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

161219314080000 is a wasteful number, since it uses less digits than its factorization.

161219314080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 161219314080000 its reverse (80413912161), we get a palindrome (161299727992161).

The spelling of 161219314080000 in words is "one hundred sixty-one trillion, two hundred nineteen billion, three hundred fourteen million, eighty thousand".