1601382776616 has 320 divisors, whose sum is σ = 5182561802880. Its totient is φ = 452510323200.

The previous prime is 1601382776611. The next prime is 1601382776633. The reversal of 1601382776616 is 6166772831061.

1601382776616 is a `hidden beast` number, since 1 + 6 + 0 + 13 + 8 + 2 + 7 + 7 + 6 + 616 = 666.

It is a super-2 number, since 2×1601382776616² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1601382776611) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 679414510 + ... + 679416866.

It is an arithmetic number, because the mean of its divisors is an integer number (16195505634).

Almost surely, 2^{1601382776616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601382776616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591280901440).

1601382776616 is an abundant number, since it is smaller than the sum of its proper divisors (3581179026264).

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

1601382776616 is a wasteful number, since it uses less digits than its factorization.

1601382776616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1601382776616 in words is "one trillion, six hundred one billion, three hundred eighty-two million, seven hundred seventy-six thousand, six hundred sixteen".