1601601615936 has 819 divisors, whose sum is σ = 5730253939647. Its totient is φ = 442839156480.

The previous prime is 1601601615931. The next prime is 1601601616001. The reversal of 1601601615936 is 6395161061061.

It is a happy number.

The square root of 1601601615936 is 1265544.

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

1601601615936 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 601 + 6 + 1 + 5 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1601601615891 and 1601601615900.

It is not an unprimeable number, because it can be changed into a prime (1601601615931) by changing a digit.

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 116 ways as a sum of consecutive naturals, for example, 51664568241 + ... + 51664568271.

Almost surely, 2^{1601601615936} is an apocalyptic number.

1601601615936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1601601615936 is the 1265544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601601615936

1601601615936 is an abundant number, since it is smaller than the sum of its proper divisors (4128652323711).

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

1601601615936 is an frugal number, since it uses more digits than its factorization.

1601601615936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

Adding to 1601601615936 its reverse (6395161061061), we get a palindrome (7996762676997).

The spelling of 1601601615936 in words is "one trillion, six hundred one billion, six hundred one million, six hundred fifteen thousand, nine hundred thirty-six".