1601081862930 has 576 divisors, whose sum is σ = 5155536522240. Its totient is φ = 340290720000.

The previous prime is 1601081862881. The next prime is 1601081862931. The reversal of 1601081862930 is 392681801061.

1601081862930 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 0 + 8 + 18 + 629 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1601081862931) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 415755505 + ... + 415759355.

It is an arithmetic number, because the mean of its divisors is an integer number (8950584240).

Almost surely, 2^{1601081862930} is an apocalyptic number.

1601081862930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601081862930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577768261120).

1601081862930 is an abundant number, since it is smaller than the sum of its proper divisors (3554454659310).

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

1601081862930 is a wasteful number, since it uses less digits than its factorization.

1601081862930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1601081862930 in words is "one trillion, six hundred one billion, eighty-one million, eight hundred sixty-two thousand, nine hundred thirty".