161335450080 has 480 divisors, whose sum is σ = 652362923520. Its totient is φ = 36783590400.

The previous prime is 161335450061. The next prime is 161335450103. The reversal of 161335450080 is 80054533161.

161335450080 is a `hidden beast` number, since 1 + 6 + 1 + 33 + 545 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39824055 + ... + 39828105.

It is an arithmetic number, because the mean of its divisors is an integer number (1359089424).

Almost surely, 2^161335450080 is an apocalyptic number.

161335450080 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 161335450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326181461760).

161335450080 is an abundant number, since it is smaller than the sum of its proper divisors (491027473440).

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

161335450080 is a wasteful number, since it uses less digits than its factorization.

161335450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 161335450080 in words is "one hundred sixty-one billion, three hundred thirty-five million, four hundred fifty thousand, eighty".