261114401856 has 336 divisors, whose sum is σ = 877860210240. Its totient is φ = 67733729280.

The previous prime is 261114401813. The next prime is 261114401887. The reversal of 261114401856 is 658104411162.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127185726 + ... + 127187778.

Almost surely, 2^261114401856 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 261114401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438930105120).

261114401856 is an abundant number, since it is smaller than the sum of its proper divisors (616745808384).

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

261114401856 is a wasteful number, since it uses less digits than its factorization.

261114401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 261114401856 in words is "two hundred sixty-one billion, one hundred fourteen million, four hundred one thousand, eight hundred fifty-six".