261950326613248 has 144 divisors (see below), whose sum is σ = 643736687932800. Its totient is φ = 103597258088448.

The previous prime is 261950326613141. The next prime is 261950326613263. The reversal of 261950326613248 is 842316623059162.

It is a happy number.

It is a super-2 number, since 2×261950326613248² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261950326613192 and 261950326613201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75149286 + ... + 78557722.

It is an arithmetic number, because the mean of its divisors is an integer number (4470393666200).

Almost surely, 2^{261950326613248} is an apocalyptic number.

261950326613248 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 261950326613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321868343966400).

261950326613248 is an abundant number, since it is smaller than the sum of its proper divisors (381786361319552).

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

261950326613248 is a wasteful number, since it uses less digits than its factorization.

261950326613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411772 (or 3411758 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 261950326613248 in words is "two hundred sixty-one trillion, nine hundred fifty billion, three hundred twenty-six million, six hundred thirteen thousand, two hundred forty-eight".