261890313384 has 192 divisors, whose sum is σ = 795820037760. Its totient is φ = 70339461120.

The previous prime is 261890313361. The next prime is 261890313413. The reversal of 261890313384 is 483313098162.

261890313384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 47432544 + ... + 47438064.

It is an arithmetic number, because the mean of its divisors is an integer number (4144896030).

Almost surely, 2^261890313384 is an apocalyptic number.

261890313384 is a gapful number since it is divisible by the number (24) 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 261890313384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397910018880).

261890313384 is an abundant number, since it is smaller than the sum of its proper divisors (533929724376).

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

261890313384 is a wasteful number, since it uses less digits than its factorization.

261890313384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 261890313384 in words is "two hundred sixty-one billion, eight hundred ninety million, three hundred thirteen thousand, three hundred eighty-four".