261114715008 has 768 divisors, whose sum is σ = 925513205760. Its totient is φ = 69057331200.

The previous prime is 261114714977. The next prime is 261114715009. The reversal of 261114715008 is 800517411162.

261114715008 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 147 + 1 + 500 + 8 = 666.

261114715008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261114715009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992831485 + ... + 992831747.

It is an arithmetic number, because the mean of its divisors is an integer number (1205095320).

Almost surely, 2^261114715008 is an apocalyptic number.

261114715008 is a gapful number since it is divisible by the number (28) 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 261114715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462756602880).

261114715008 is an abundant number, since it is smaller than the sum of its proper divisors (664398490752).

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

261114715008 is a wasteful number, since it uses less digits than its factorization.

261114715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 261114715008 in words is "two hundred sixty-one billion, one hundred fourteen million, seven hundred fifteen thousand, eight".