160971947136 has 2048 divisors, whose sum is σ = 701890560000. Its totient is φ = 34936012800.

The previous prime is 160971947089. The next prime is 160971947141. The reversal of 160971947136 is 631749179061.

160971947136 is a `hidden beast` number, since 1 + 609 + 7 + 19 + 4 + 7 + 13 + 6 = 666.

160971947136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2037619545 + ... + 2037619623.

It is an arithmetic number, because the mean of its divisors is an integer number (342720000).

Almost surely, 2^160971947136 is an apocalyptic number.

160971947136 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 160971947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350945280000).

160971947136 is an abundant number, since it is smaller than the sum of its proper divisors (540918612864).

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

160971947136 is a wasteful number, since it uses less digits than its factorization.

160971947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 160971947136 in words is "one hundred sixty billion, nine hundred seventy-one million, nine hundred forty-seven thousand, one hundred thirty-six".