161311463664 has 160 divisors (see below), whose sum is σ = 459056076864. Its totient is φ = 48507863040.

The previous prime is 161311463657. The next prime is 161311463707. The reversal of 161311463664 is 466364113161.

161311463664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 5962552 + ... + 5989544.

Almost surely, 2^161311463664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161311463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229528038432).

161311463664 is an abundant number, since it is smaller than the sum of its proper divisors (297744613200).

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

161311463664 is a wasteful number, since it uses less digits than its factorization.

161311463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27235 (or 27229 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 161311463664 in words is "one hundred sixty-one billion, three hundred eleven million, four hundred sixty-three thousand, six hundred sixty-four".