1601599794912 has 576 divisors, whose sum is σ = 5342328613440. Its totient is φ = 450883584000.

The previous prime is 1601599794911. The next prime is 1601599794929. The reversal of 1601599794912 is 2194979951061.

1601599794912 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 59 + 97 + 9 + 491 + 2 = 666.

It is a super-2 number, since 2×1601599794912² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1601599794912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601599794911) 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, 294571458 + ... + 294576894.

It is an arithmetic number, because the mean of its divisors is an integer number (9274876065).

Almost surely, 2^{1601599794912} is an apocalyptic number.

1601599794912 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 1601599794912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671164306720).

1601599794912 is an abundant number, since it is smaller than the sum of its proper divisors (3740728818528).

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

1601599794912 is a wasteful number, since it uses less digits than its factorization.

1601599794912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 1601599794912 in words is "one trillion, six hundred one billion, five hundred ninety-nine million, seven hundred ninety-four thousand, nine hundred twelve".