16160386464 has 288 divisors, whose sum is σ = 50771448000. Its totient is φ = 5041833984.

The previous prime is 16160386441. The next prime is 16160386471. The reversal of 16160386464 is 46468306161.

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

It is a super-2 number, since 2×16160386464² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13148602 + ... + 13149830.

It is an arithmetic number, because the mean of its divisors is an integer number (176289750).

Almost surely, 2^16160386464 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 16160386464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25385724000).

16160386464 is an abundant number, since it is smaller than the sum of its proper divisors (34611061536).

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

16160386464 is a wasteful number, since it uses less digits than its factorization.

16160386464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16160386464 in words is "sixteen billion, one hundred sixty million, three hundred eighty-six thousand, four hundred sixty-four".