160082044416 has 800 divisors, whose sum is σ = 584651865600. Its totient is φ = 42568187904.

The previous prime is 160082044391. The next prime is 160082044439. The reversal of 160082044416 is 614440280061.

It is a happy number.

160082044416 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 8 + 204 + 441 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 804432285 + ... + 804432483.

It is an arithmetic number, because the mean of its divisors is an integer number (730814832).

Almost surely, 2^160082044416 is an apocalyptic number.

160082044416 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 160082044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292325932800).

160082044416 is an abundant number, since it is smaller than the sum of its proper divisors (424569821184).

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

160082044416 is a wasteful number, since it uses less digits than its factorization.

160082044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 160082044416 in words is "one hundred sixty billion, eighty-two million, forty-four thousand, four hundred sixteen".