261146046150 has 144 divisors (see below), whose sum is σ = 765993906288. Its totient is φ = 63258624000.

The previous prime is 261146046143. The next prime is 261146046163. The reversal of 261146046150 is 51640641162.

261146046150 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 460 + 46 + 150 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6518982 + ... + 6558918.

It is an arithmetic number, because the mean of its divisors is an integer number (5319402127).

Almost surely, 2^261146046150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261146046150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382996953144).

261146046150 is an abundant number, since it is smaller than the sum of its proper divisors (504847860138).

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

261146046150 is a wasteful number, since it uses less digits than its factorization.

261146046150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41287 (or 41279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 261146046150 in words is "two hundred sixty-one billion, one hundred forty-six million, forty-six thousand, one hundred fifty".