161403166080000 has 4620 divisors, whose sum is σ = 690707034935280. Its totient is φ = 37575622656000.

The previous prime is 161403166079999. The next prime is 161403166080187. The reversal of 161403166080000 is 80661304161.

161403166080000 is a `hidden beast` number, since 1 + 6 + 1 + 40 + 3 + 1 + 6 + 608 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 1813518719956 + ... + 1813518720044.

Almost surely, 2^{161403166080000} is an apocalyptic number.

161403166080000 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 161403166080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345353517467640).

161403166080000 is an abundant number, since it is smaller than the sum of its proper divisors (529303868855280).

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

161403166080000 is an frugal number, since it uses more digits than its factorization.

161403166080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 161403166080000 in words is "one hundred sixty-one trillion, four hundred three billion, one hundred sixty-six million, eighty thousand".