1610661566646 has 192 divisors, whose sum is σ = 4151396448000. Its totient is φ = 458973757440.

The previous prime is 1610661566611. The next prime is 1610661566677. The reversal of 1610661566646 is 6466651660161.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1610661566592 and 1610661566601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241874065 + ... + 241880723.

It is an arithmetic number, because the mean of its divisors is an integer number (21621856500).

Almost surely, 2^{1610661566646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610661566646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075698224000).

1610661566646 is an abundant number, since it is smaller than the sum of its proper divisors (2540734881354).

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

1610661566646 is a wasteful number, since it uses less digits than its factorization.

1610661566646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1610661566646 in words is "one trillion, six hundred ten billion, six hundred sixty-one million, five hundred sixty-six thousand, six hundred forty-six".