160291338768 has 360 divisors, whose sum is σ = 513804301920. Its totient is φ = 46572979200.

The previous prime is 160291338751. The next prime is 160291338791. The reversal of 160291338768 is 867833192061.

160291338768 is a `hidden beast` number, since 16 + 0 + 291 + 338 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42146755 + ... + 42150557.

It is an arithmetic number, because the mean of its divisors is an integer number (1427234172).

Almost surely, 2^160291338768 is an apocalyptic number.

160291338768 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 160291338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256902150960).

160291338768 is an abundant number, since it is smaller than the sum of its proper divisors (353512963152).

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

160291338768 is a wasteful number, since it uses less digits than its factorization.

160291338768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 160291338768 in words is "one hundred sixty billion, two hundred ninety-one million, three hundred thirty-eight thousand, seven hundred sixty-eight".