160577480448 has 864 divisors, whose sum is σ = 628136570880. Its totient is φ = 38167511040.

The previous prime is 160577480447. The next prime is 160577480461. The reversal of 160577480448 is 844084775061.

160577480448 is a `hidden beast` number, since 1 + 6 + 0 + 57 + 74 + 80 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 160577480394 and 160577480403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160577480447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111588913 + ... + 111590351.

It is an arithmetic number, because the mean of its divisors is an integer number (727009920).

Almost surely, 2^160577480448 is an apocalyptic number.

160577480448 is a gapful number since it is divisible by the number (18) 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 160577480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314068285440).

160577480448 is an abundant number, since it is smaller than the sum of its proper divisors (467559090432).

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

160577480448 is a wasteful number, since it uses less digits than its factorization.

160577480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 160577480448 in words is "one hundred sixty billion, five hundred seventy-seven million, four hundred eighty thousand, four hundred forty-eight".