261646070511144 has 256 divisors, whose sum is σ = 762348184704000. Its totient is φ = 73995081431040.

The previous prime is 261646070511113. The next prime is 261646070511151. The reversal of 261646070511144 is 441115070646162.

It is a junction number, because it is equal to n+sod(n) for n = 261646070511093 and 261646070511102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302388922 + ... + 303252950.

It is an arithmetic number, because the mean of its divisors is an integer number (2977922596500).

Almost surely, 2^{261646070511144} is an apocalyptic number.

261646070511144 is a gapful number since it is divisible by the number (24) 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 261646070511144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381174092352000).

261646070511144 is an abundant number, since it is smaller than the sum of its proper divisors (500702114192856).

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

261646070511144 is a wasteful number, since it uses less digits than its factorization.

261646070511144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864968 (or 864964 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 261646070511144 in words is "two hundred sixty-one trillion, six hundred forty-six billion, seventy million, five hundred eleven thousand, one hundred forty-four".