1601548097472 has 336 divisors, whose sum is σ = 4974729009120. Its totient is φ = 490756571136.

The previous prime is 1601548097419. The next prime is 1601548097519. The reversal of 1601548097472 is 2747908451061.

1601548097472 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 5 + 4 + 80 + 97 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90694468 + ... + 90712124.

Almost surely, 2^{1601548097472} is an apocalyptic number.

1601548097472 is a gapful number since it is divisible by the number (12) 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 1601548097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487364504560).

1601548097472 is an abundant number, since it is smaller than the sum of its proper divisors (3373180911648).

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

1601548097472 is a wasteful number, since it uses less digits than its factorization.

1601548097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17908 (or 17895 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1601548097472 in words is "one trillion, six hundred one billion, five hundred forty-eight million, ninety-seven thousand, four hundred seventy-two".