160146419328 has 960 divisors, whose sum is σ = 597688502400. Its totient is φ = 42305421312.

The previous prime is 160146419327. The next prime is 160146419333. The reversal of 160146419328 is 823914641061.

160146419328 is a `hidden beast` number, since 1 + 60 + 146 + 419 + 32 + 8 = 666.

It is a super-2 number, since 2×160146419328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160146419327) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453672400 + ... + 453672752.

It is an arithmetic number, because the mean of its divisors is an integer number (622592190).

Almost surely, 2^160146419328 is an apocalyptic number.

160146419328 is a gapful number since it is divisible by the number (18) 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 160146419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298844251200).

160146419328 is an abundant number, since it is smaller than the sum of its proper divisors (437542083072).

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

160146419328 is a wasteful number, since it uses less digits than its factorization.

160146419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 160146419328 in words is "one hundred sixty billion, one hundred forty-six million, four hundred nineteen thousand, three hundred twenty-eight".