161464716000 has 288 divisors, whose sum is σ = 654901910208. Its totient is φ = 36906163200.

The previous prime is 161464715981. The next prime is 161464716011. The reversal of 161464716000 is 617464161.

It is a happy number.

161464716000 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 6 + 47 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68367 + ... + 572366.

It is an arithmetic number, because the mean of its divisors is an integer number (2273964966).

Almost surely, 2^161464716000 is an apocalyptic number.

161464716000 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 161464716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327450955104).

161464716000 is an abundant number, since it is smaller than the sum of its proper divisors (493437194208).

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

161464716000 is a wasteful number, since it uses less digits than its factorization.

161464716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640771 (or 640750 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 161464716000 in words is "one hundred sixty-one billion, four hundred sixty-four million, seven hundred sixteen thousand".