160742658816 has 288 divisors, whose sum is σ = 493366003200. Its totient is φ = 51561861120.

The previous prime is 160742658779. The next prime is 160742658887. The reversal of 160742658816 is 618856247061.

160742658816 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 42 + 6 + 588 + 16 = 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 (54).

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 31 ways as a sum of consecutive naturals, for example, 69554301 + ... + 69556611.

It is an arithmetic number, because the mean of its divisors is an integer number (1713076400).

Almost surely, 2^160742658816 is an apocalyptic number.

160742658816 is a gapful number since it is divisible by the number (16) 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 160742658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246683001600).

160742658816 is an abundant number, since it is smaller than the sum of its proper divisors (332623344384).

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

160742658816 is a wasteful number, since it uses less digits than its factorization.

160742658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 160742658816 in words is "one hundred sixty billion, seven hundred forty-two million, six hundred fifty-eight thousand, eight hundred sixteen".