261084222816 has 96 divisors (see below), whose sum is σ = 701990593920. Its totient is φ = 84918564864.

The previous prime is 261084222733. The next prime is 261084222851. The reversal of 261084222816 is 618222480162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4133811 + ... + 4196493.

It is an arithmetic number, because the mean of its divisors is an integer number (7312402020).

Almost surely, 2^261084222816 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 261084222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350995296960).

261084222816 is an abundant number, since it is smaller than the sum of its proper divisors (440906371104).

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

261084222816 is a wasteful number, since it uses less digits than its factorization.

261084222816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63748 (or 63740 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 261084222816 in words is "two hundred sixty-one billion, eighty-four million, two hundred twenty-two thousand, eight hundred sixteen".