1601561942136 has 480 divisors, whose sum is σ = 5297602020480. Its totient is φ = 448818278400.

The previous prime is 1601561942131. The next prime is 1601561942249. The reversal of 1601561942136 is 6312491651061.

1601561942136 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 5 + 619 + 4 + 21 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1601561942091 and 1601561942100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601561942131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75460006 + ... + 75481226.

It is an arithmetic number, because the mean of its divisors is an integer number (11036670876).

Almost surely, 2^{1601561942136} 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 1601561942136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648801010240).

1601561942136 is an abundant number, since it is smaller than the sum of its proper divisors (3696040078344).

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

1601561942136 is a wasteful number, since it uses less digits than its factorization.

1601561942136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1601561942136 in words is "one trillion, six hundred one billion, five hundred sixty-one million, nine hundred forty-two thousand, one hundred thirty-six".