160736846400 has 567 divisors, whose sum is σ = 621039517761. Its totient is φ = 39412039680.

The previous prime is 160736846383. The next prime is 160736846401. The reversal of 160736846400 is 4648637061.

It is a happy number.

The square root of 160736846400 is 400920.

It is a perfect power (a square), and thus also a powerful number.

160736846400 is a `hidden beast` number, since 1 + 60 + 73 + 68 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 60009321024 + 100727525376 = 244968^2 + 317376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (160736846401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 625435072 + ... + 625435328.

Almost surely, 2^160736846400 is an apocalyptic number.

160736846400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160736846400 is the 400920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160736846400

160736846400 is an abundant number, since it is smaller than the sum of its proper divisors (460302671361).

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

160736846400 is a wasteful number, since it uses less digits than its factorization.

160736846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 160736846400 in words is "one hundred sixty billion, seven hundred thirty-six million, eight hundred forty-six thousand, four hundred".