160503762816 has 384 divisors, whose sum is σ = 520504857600. Its totient is φ = 49044787200.

The previous prime is 160503762763. The next prime is 160503762817. The reversal of 160503762816 is 618267305061.

160503762816 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 0 + 3 + 7 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×160503762816² (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 (160503762817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18315876 + ... + 18324636.

It is an arithmetic number, because the mean of its divisors is an integer number (1355481400).

Almost surely, 2^160503762816 is an apocalyptic number.

160503762816 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 160503762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260252428800).

160503762816 is an abundant number, since it is smaller than the sum of its proper divisors (360001094784).

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

160503762816 is an equidigital number, since it uses as much as digits as its factorization.

160503762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 160503762816 in words is "one hundred sixty billion, five hundred three million, seven hundred sixty-two thousand, eight hundred sixteen".