1871161654656 has 384 divisors, whose sum is σ = 5989648896000. Its totient is φ = 517336888320.

The previous prime is 1871161654639. The next prime is 1871161654657. The reversal of 1871161654656 is 6564561611781.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1871161654596 and 1871161654605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1871161654657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126567841 + ... + 126582623.

It is an arithmetic number, because the mean of its divisors is an integer number (15598044000).

Almost surely, 2^{1871161654656} is an apocalyptic number.

1871161654656 is a gapful number since it is divisible by the number (16) 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 1871161654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994824448000).

1871161654656 is an abundant number, since it is smaller than the sum of its proper divisors (4118487241344).

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

1871161654656 is an equidigital number, since it uses as much as digits as its factorization.

1871161654656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14826 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 57.

The spelling of 1871161654656 in words is "one trillion, eight hundred seventy-one billion, one hundred sixty-one million, six hundred fifty-four thousand, six hundred fifty-six".