160838487936 has 768 divisors, whose sum is σ = 564583219200. Its totient is φ = 42999828480.

The previous prime is 160838487919. The next prime is 160838487937. The reversal of 160838487936 is 639784838061.

160838487936 is a `hidden beast` number, since 1 + 60 + 8 + 3 + 8 + 487 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160838487937) 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 95 ways as a sum of consecutive naturals, for example, 1157111355 + ... + 1157111493.

It is an arithmetic number, because the mean of its divisors is an integer number (735134400).

Almost surely, 2^160838487936 is an apocalyptic number.

160838487936 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 160838487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282291609600).

160838487936 is an abundant number, since it is smaller than the sum of its proper divisors (403744731264).

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

160838487936 is a wasteful number, since it uses less digits than its factorization.

160838487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 160838487936 in words is "one hundred sixty billion, eight hundred thirty-eight million, four hundred eighty-seven thousand, nine hundred thirty-six".